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Finding the Fourth Proportional to 931.55, 1,397.79 and 411.66

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Solution

The fourth proportional to 931.55, 1,397.79 and 411.66 is: 617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.55 : 1,397.79 = 411.66 : x
  2. Step 2: Convert to fraction form
    931.55/1,397.79 = 411.66/x
  3. Step 3: Cross multiply
    931.55x = 1,397.79 × 411.66
  4. Step 4: Simplify right side
    931.55x = 575,414.23
  5. Step 5: Solve for x
    x = 575,414.23/931.55
  6. Step 6: Final answer
    x = 617.70

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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.