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Finding the Fourth Proportional to 1,290.58, 1,934.64 and 632.08

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Solution

The fourth proportional to 1,290.58, 1,934.64 and 632.08 is: 947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.58 : 1,934.64 = 632.08 : x
  2. Step 2: Convert to fraction form
    1,290.58/1,934.64 = 632.08/x
  3. Step 3: Cross multiply
    1,290.58x = 1,934.64 × 632.08
  4. Step 4: Simplify right side
    1,290.58x = 1,222,847.25
  5. Step 5: Solve for x
    x = 1,222,847.25/1,290.58
  6. Step 6: Final answer
    x = 947.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.