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Finding the Fourth Proportional to 458, 685.92 and 404.72

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Solution

The fourth proportional to 458, 685.92 and 404.72 is: 606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458 : 685.92 = 404.72 : x
  2. Step 2: Convert to fraction form
    458/685.92 = 404.72/x
  3. Step 3: Cross multiply
    458x = 685.92 × 404.72
  4. Step 4: Simplify right side
    458x = 277,605.54
  5. Step 5: Solve for x
    x = 277,605.54/458
  6. Step 6: Final answer
    x = 606.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.