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Finding the Fourth Proportional to 560.43, 836.62 and 523.71

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Solution

The fourth proportional to 560.43, 836.62 and 523.71 is: 781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.43 : 836.62 = 523.71 : x
  2. Step 2: Convert to fraction form
    560.43/836.62 = 523.71/x
  3. Step 3: Cross multiply
    560.43x = 836.62 × 523.71
  4. Step 4: Simplify right side
    560.43x = 438,144.95
  5. Step 5: Solve for x
    x = 438,144.95/560.43
  6. Step 6: Final answer
    x = 781.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.