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Finding the Fourth Proportional to 687.09, 1,029.10 and 532.55

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Solution

The fourth proportional to 687.09, 1,029.10 and 532.55 is: 797.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.09 : 1,029.10 = 532.55 : x
  2. Step 2: Convert to fraction form
    687.09/1,029.10 = 532.55/x
  3. Step 3: Cross multiply
    687.09x = 1,029.10 × 532.55
  4. Step 4: Simplify right side
    687.09x = 548,047.21
  5. Step 5: Solve for x
    x = 548,047.21/687.09
  6. Step 6: Final answer
    x = 797.64

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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.