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Finding the Fourth Proportional to 560.59, 836.63 and 523.46

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Solution

The fourth proportional to 560.59, 836.63 and 523.46 is: 781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.59 : 836.63 = 523.46 : x
  2. Step 2: Convert to fraction form
    560.59/836.63 = 523.46/x
  3. Step 3: Cross multiply
    560.59x = 836.63 × 523.46
  4. Step 4: Simplify right side
    560.59x = 437,935.54
  5. Step 5: Solve for x
    x = 437,935.54/560.59
  6. Step 6: Final answer
    x = 781.20

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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.