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Finding the Fourth Proportional to 517.95, 715.01 and 331.70

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Solution

The fourth proportional to 517.95, 715.01 and 331.70 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.95 : 715.01 = 331.70 : x
  2. Step 2: Convert to fraction form
    517.95/715.01 = 331.70/x
  3. Step 3: Cross multiply
    517.95x = 715.01 × 331.70
  4. Step 4: Simplify right side
    517.95x = 237,163.58
  5. Step 5: Solve for x
    x = 237,163.58/517.95
  6. Step 6: Final answer
    x = 457.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.