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Finding the Fourth Proportional to 932.50, 1,287.93 and 637.26

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Solution

The fourth proportional to 932.50, 1,287.93 and 637.26 is: 880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.50 : 1,287.93 = 637.26 : x
  2. Step 2: Convert to fraction form
    932.50/1,287.93 = 637.26/x
  3. Step 3: Cross multiply
    932.50x = 1,287.93 × 637.26
  4. Step 4: Simplify right side
    932.50x = 820,746.27
  5. Step 5: Solve for x
    x = 820,746.27/932.50
  6. Step 6: Final answer
    x = 880.16

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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.