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Finding the Fourth Proportional to 652.69, 976.92 and 479.32

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Solution

The fourth proportional to 652.69, 976.92 and 479.32 is: 717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.69 : 976.92 = 479.32 : x
  2. Step 2: Convert to fraction form
    652.69/976.92 = 479.32/x
  3. Step 3: Cross multiply
    652.69x = 976.92 × 479.32
  4. Step 4: Simplify right side
    652.69x = 468,259.57
  5. Step 5: Solve for x
    x = 468,259.57/652.69
  6. Step 6: Final answer
    x = 717.43

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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.