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Finding the Fourth Proportional to 728.35, 1,088.03 and 655.11

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Solution

The fourth proportional to 728.35, 1,088.03 and 655.11 is: 978.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.35 : 1,088.03 = 655.11 : x
  2. Step 2: Convert to fraction form
    728.35/1,088.03 = 655.11/x
  3. Step 3: Cross multiply
    728.35x = 1,088.03 × 655.11
  4. Step 4: Simplify right side
    728.35x = 712,776.06
  5. Step 5: Solve for x
    x = 712,776.06/728.35
  6. Step 6: Final answer
    x = 978.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.