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Finding the Fourth Proportional to 563.10, 772.88 and 499.52

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Solution

The fourth proportional to 563.10, 772.88 and 499.52 is: 685.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 772.88 = 499.52 : x
  2. Step 2: Convert to fraction form
    563.10/772.88 = 499.52/x
  3. Step 3: Cross multiply
    563.10x = 772.88 × 499.52
  4. Step 4: Simplify right side
    563.10x = 386,069.02
  5. Step 5: Solve for x
    x = 386,069.02/563.10
  6. Step 6: Final answer
    x = 685.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.