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Finding the Fourth Proportional to 565.74, 778.13 and 454.97

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Solution

The fourth proportional to 565.74, 778.13 and 454.97 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.74 : 778.13 = 454.97 : x
  2. Step 2: Convert to fraction form
    565.74/778.13 = 454.97/x
  3. Step 3: Cross multiply
    565.74x = 778.13 × 454.97
  4. Step 4: Simplify right side
    565.74x = 354,025.81
  5. Step 5: Solve for x
    x = 354,025.81/565.74
  6. Step 6: Final answer
    x = 625.77

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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.