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Finding the Fourth Proportional to 563.71, 778.01 and 342.73

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Solution

The fourth proportional to 563.71, 778.01 and 342.73 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.71 : 778.01 = 342.73 : x
  2. Step 2: Convert to fraction form
    563.71/778.01 = 342.73/x
  3. Step 3: Cross multiply
    563.71x = 778.01 × 342.73
  4. Step 4: Simplify right side
    563.71x = 266,641.76
  5. Step 5: Solve for x
    x = 266,641.76/563.71
  6. Step 6: Final answer
    x = 473.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.