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Finding the Fourth Proportional to 580.48, 801.92 and 456.96

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Solution

The fourth proportional to 580.48, 801.92 and 456.96 is: 631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.48 : 801.92 = 456.96 : x
  2. Step 2: Convert to fraction form
    580.48/801.92 = 456.96/x
  3. Step 3: Cross multiply
    580.48x = 801.92 × 456.96
  4. Step 4: Simplify right side
    580.48x = 366,445.36
  5. Step 5: Solve for x
    x = 366,445.36/580.48
  6. Step 6: Final answer
    x = 631.28

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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.