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Finding the Fourth Proportional to 565.92, 781.74 and 443.13

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Solution

The fourth proportional to 565.92, 781.74 and 443.13 is: 612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 781.74 = 443.13 : x
  2. Step 2: Convert to fraction form
    565.92/781.74 = 443.13/x
  3. Step 3: Cross multiply
    565.92x = 781.74 × 443.13
  4. Step 4: Simplify right side
    565.92x = 346,412.45
  5. Step 5: Solve for x
    x = 346,412.45/565.92
  6. Step 6: Final answer
    x = 612.12

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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.