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Finding the Fourth Proportional to 565.34, 780.25 and 344.34

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Solution

The fourth proportional to 565.34, 780.25 and 344.34 is: 475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 780.25 = 344.34 : x
  2. Step 2: Convert to fraction form
    565.34/780.25 = 344.34/x
  3. Step 3: Cross multiply
    565.34x = 780.25 × 344.34
  4. Step 4: Simplify right side
    565.34x = 268,671.29
  5. Step 5: Solve for x
    x = 268,671.29/565.34
  6. Step 6: Final answer
    x = 475.24

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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.