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Finding the Fourth Proportional to 565.55, 780.23 and 344.42

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Solution

The fourth proportional to 565.55, 780.23 and 344.42 is: 475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.55 : 780.23 = 344.42 : x
  2. Step 2: Convert to fraction form
    565.55/780.23 = 344.42/x
  3. Step 3: Cross multiply
    565.55x = 780.23 × 344.42
  4. Step 4: Simplify right side
    565.55x = 268,726.70
  5. Step 5: Solve for x
    x = 268,726.70/565.55
  6. Step 6: Final answer
    x = 475.16

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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.