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Finding the Fourth Proportional to 725.49, 1,088.91 and 417.30

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Solution

The fourth proportional to 725.49, 1,088.91 and 417.30 is: 626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.49 : 1,088.91 = 417.30 : x
  2. Step 2: Convert to fraction form
    725.49/1,088.91 = 417.30/x
  3. Step 3: Cross multiply
    725.49x = 1,088.91 × 417.30
  4. Step 4: Simplify right side
    725.49x = 454,402.14
  5. Step 5: Solve for x
    x = 454,402.14/725.49
  6. Step 6: Final answer
    x = 626.34

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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.