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Finding the Fourth Proportional to 1,051.94, 1,451.50 and 632.19

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Solution

The fourth proportional to 1,051.94, 1,451.50 and 632.19 is: 872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.94 : 1,451.50 = 632.19 : x
  2. Step 2: Convert to fraction form
    1,051.94/1,451.50 = 632.19/x
  3. Step 3: Cross multiply
    1,051.94x = 1,451.50 × 632.19
  4. Step 4: Simplify right side
    1,051.94x = 917,623.04
  5. Step 5: Solve for x
    x = 917,623.04/1,051.94
  6. Step 6: Final answer
    x = 872.32

Related Problems

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Half scale
Find fourth proportional to 2,103.87, 2,903.01 and 1,264.38
Double scale
Find fourth proportional to 1,052.94, 1,452.88 and 633.19
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.