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Finding the Fourth Proportional to 478.22, 715.53 and 283.28

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Solution

The fourth proportional to 478.22, 715.53 and 283.28 is: 423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.22 : 715.53 = 283.28 : x
  2. Step 2: Convert to fraction form
    478.22/715.53 = 283.28/x
  3. Step 3: Cross multiply
    478.22x = 715.53 × 283.28
  4. Step 4: Simplify right side
    478.22x = 202,691.76
  5. Step 5: Solve for x
    x = 202,691.76/478.22
  6. Step 6: Final answer
    x = 423.85

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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.