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Finding the Fourth Proportional to 912, 1,366.82 and 521.40

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Solution

The fourth proportional to 912, 1,366.82 and 521.40 is: 781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    912 : 1,366.82 = 521.40 : x
  2. Step 2: Convert to fraction form
    912/1,366.82 = 521.40/x
  3. Step 3: Cross multiply
    912x = 1,366.82 × 521.40
  4. Step 4: Simplify right side
    912x = 712,659.95
  5. Step 5: Solve for x
    x = 712,659.95/912
  6. Step 6: Final answer
    x = 781.43

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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.