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Finding the Fourth Proportional to 485.72, 725.27 and 458.31

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Solution

The fourth proportional to 485.72, 725.27 and 458.31 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.72 : 725.27 = 458.31 : x
  2. Step 2: Convert to fraction form
    485.72/725.27 = 458.31/x
  3. Step 3: Cross multiply
    485.72x = 725.27 × 458.31
  4. Step 4: Simplify right side
    485.72x = 332,402.36
  5. Step 5: Solve for x
    x = 332,402.36/485.72
  6. Step 6: Final answer
    x = 684.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.