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Finding the Fourth Proportional to 563.56, 841.17 and 523.50

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Solution

The fourth proportional to 563.56, 841.17 and 523.50 is: 781.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.56 : 841.17 = 523.50 : x
  2. Step 2: Convert to fraction form
    563.56/841.17 = 523.50/x
  3. Step 3: Cross multiply
    563.56x = 841.17 × 523.50
  4. Step 4: Simplify right side
    563.56x = 440,352.50
  5. Step 5: Solve for x
    x = 440,352.50/563.56
  6. Step 6: Final answer
    x = 781.38

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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.