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Finding the Fourth Proportional to 1,051.77, 1,451.20 and 632.01

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Solution

The fourth proportional to 1,051.77, 1,451.20 and 632.01 is: 872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.77 : 1,451.20 = 632.01 : x
  2. Step 2: Convert to fraction form
    1,051.77/1,451.20 = 632.01/x
  3. Step 3: Cross multiply
    1,051.77x = 1,451.20 × 632.01
  4. Step 4: Simplify right side
    1,051.77x = 917,172.91
  5. Step 5: Solve for x
    x = 917,172.91/1,051.77
  6. Step 6: Final answer
    x = 872.03

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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.