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Finding the Fourth Proportional to 603.71, 832.26 and 470.71

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Solution

The fourth proportional to 603.71, 832.26 and 470.71 is: 648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.71 : 832.26 = 470.71 : x
  2. Step 2: Convert to fraction form
    603.71/832.26 = 470.71/x
  3. Step 3: Cross multiply
    603.71x = 832.26 × 470.71
  4. Step 4: Simplify right side
    603.71x = 391,753.10
  5. Step 5: Solve for x
    x = 391,753.10/603.71
  6. Step 6: Final answer
    x = 648.91

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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.