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Finding the Fourth Proportional to 657.95, 986.70 and 398.13

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Solution

The fourth proportional to 657.95, 986.70 and 398.13 is: 597.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 986.70 = 398.13 : x
  2. Step 2: Convert to fraction form
    657.95/986.70 = 398.13/x
  3. Step 3: Cross multiply
    657.95x = 986.70 × 398.13
  4. Step 4: Simplify right side
    657.95x = 392,834.87
  5. Step 5: Solve for x
    x = 392,834.87/657.95
  6. Step 6: Final answer
    x = 597.06

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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.