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Finding the Fourth Proportional to 931.34, 1,397.82 and 520.76

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Solution

The fourth proportional to 931.34, 1,397.82 and 520.76 is: 781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.34 : 1,397.82 = 520.76 : x
  2. Step 2: Convert to fraction form
    931.34/1,397.82 = 520.76/x
  3. Step 3: Cross multiply
    931.34x = 1,397.82 × 520.76
  4. Step 4: Simplify right side
    931.34x = 727,928.74
  5. Step 5: Solve for x
    x = 727,928.74/931.34
  6. Step 6: Final answer
    x = 781.59

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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.