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Finding the Fourth Proportional to 499.92, 684.72 and 470.40

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Solution

The fourth proportional to 499.92, 684.72 and 470.40 is: 644.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 684.72 = 470.40 : x
  2. Step 2: Convert to fraction form
    499.92/684.72 = 470.40/x
  3. Step 3: Cross multiply
    499.92x = 684.72 × 470.40
  4. Step 4: Simplify right side
    499.92x = 322,092.29
  5. Step 5: Solve for x
    x = 322,092.29/499.92
  6. Step 6: Final answer
    x = 644.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.