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Finding the Fourth Proportional to 732.88, 1,097.16 and 458.08

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Solution

The fourth proportional to 732.88, 1,097.16 and 458.08 is: 685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.88 : 1,097.16 = 458.08 : x
  2. Step 2: Convert to fraction form
    732.88/1,097.16 = 458.08/x
  3. Step 3: Cross multiply
    732.88x = 1,097.16 × 458.08
  4. Step 4: Simplify right side
    732.88x = 502,587.05
  5. Step 5: Solve for x
    x = 502,587.05/732.88
  6. Step 6: Final answer
    x = 685.77

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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.