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Finding the Fourth Proportional to 478.36, 716.32 and 315.80

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Solution

The fourth proportional to 478.36, 716.32 and 315.80 is: 472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.36 : 716.32 = 315.80 : x
  2. Step 2: Convert to fraction form
    478.36/716.32 = 315.80/x
  3. Step 3: Cross multiply
    478.36x = 716.32 × 315.80
  4. Step 4: Simplify right side
    478.36x = 226,213.86
  5. Step 5: Solve for x
    x = 226,213.86/478.36
  6. Step 6: Final answer
    x = 472.89

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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.