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Finding the Fourth Proportional to 470.92, 652.59 and 462.28

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Solution

The fourth proportional to 470.92, 652.59 and 462.28 is: 640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 652.59 = 462.28 : x
  2. Step 2: Convert to fraction form
    470.92/652.59 = 462.28/x
  3. Step 3: Cross multiply
    470.92x = 652.59 × 462.28
  4. Step 4: Simplify right side
    470.92x = 301,679.31
  5. Step 5: Solve for x
    x = 301,679.31/470.92
  6. Step 6: Final answer
    x = 640.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.