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Finding the Fourth Proportional to 691.52, 953.54 and 470.08

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Solution

The fourth proportional to 691.52, 953.54 and 470.08 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 953.54 = 470.08 : x
  2. Step 2: Convert to fraction form
    691.52/953.54 = 470.08/x
  3. Step 3: Cross multiply
    691.52x = 953.54 × 470.08
  4. Step 4: Simplify right side
    691.52x = 448,232.97
  5. Step 5: Solve for x
    x = 448,232.97/691.52
  6. Step 6: Final answer
    x = 648.19

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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.