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Finding the Fourth Proportional to 478.50, 716.82 and 375.24

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Solution

The fourth proportional to 478.50, 716.82 and 375.24 is: 562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 716.82 = 375.24 : x
  2. Step 2: Convert to fraction form
    478.50/716.82 = 375.24/x
  3. Step 3: Cross multiply
    478.50x = 716.82 × 375.24
  4. Step 4: Simplify right side
    478.50x = 268,979.54
  5. Step 5: Solve for x
    x = 268,979.54/478.50
  6. Step 6: Final answer
    x = 562.13

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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.