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Finding the Fourth Proportional to 931.98, 1,398.42 and 411.92

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Solution

The fourth proportional to 931.98, 1,398.42 and 411.92 is: 618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.98 : 1,398.42 = 411.92 : x
  2. Step 2: Convert to fraction form
    931.98/1,398.42 = 411.92/x
  3. Step 3: Cross multiply
    931.98x = 1,398.42 × 411.92
  4. Step 4: Simplify right side
    931.98x = 576,037.17
  5. Step 5: Solve for x
    x = 576,037.17/931.98
  6. Step 6: Final answer
    x = 618.08

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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.