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Finding the Fourth Proportional to 478.47, 716.76 and 381.15

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Solution

The fourth proportional to 478.47, 716.76 and 381.15 is: 570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.47 : 716.76 = 381.15 : x
  2. Step 2: Convert to fraction form
    478.47/716.76 = 381.15/x
  3. Step 3: Cross multiply
    478.47x = 716.76 × 381.15
  4. Step 4: Simplify right side
    478.47x = 273,193.07
  5. Step 5: Solve for x
    x = 273,193.07/478.47
  6. Step 6: Final answer
    x = 570.97

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Why These Related Problems?

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