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Finding the Fourth Proportional to 563.69, 773.76 and 500.13

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Solution

The fourth proportional to 563.69, 773.76 and 500.13 is: 686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.69 : 773.76 = 500.13 : x
  2. Step 2: Convert to fraction form
    563.69/773.76 = 500.13/x
  3. Step 3: Cross multiply
    563.69x = 773.76 × 500.13
  4. Step 4: Simplify right side
    563.69x = 386,980.59
  5. Step 5: Solve for x
    x = 386,980.59/563.69
  6. Step 6: Final answer
    x = 686.51

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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.