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Finding the Fourth Proportional to 478.20, 715.42 and 362.98

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Solution

The fourth proportional to 478.20, 715.42 and 362.98 is: 543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.20 : 715.42 = 362.98 : x
  2. Step 2: Convert to fraction form
    478.20/715.42 = 362.98/x
  3. Step 3: Cross multiply
    478.20x = 715.42 × 362.98
  4. Step 4: Simplify right side
    478.20x = 259,683.15
  5. Step 5: Solve for x
    x = 259,683.15/478.20
  6. Step 6: Final answer
    x = 543.04

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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.