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Finding the Fourth Proportional to 565.33, 780 and 344.38

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Solution

The fourth proportional to 565.33, 780 and 344.38 is: 475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.33 : 780 = 344.38 : x
  2. Step 2: Convert to fraction form
    565.33/780 = 344.38/x
  3. Step 3: Cross multiply
    565.33x = 780 × 344.38
  4. Step 4: Simplify right side
    565.33x = 268,616.40
  5. Step 5: Solve for x
    x = 268,616.40/565.33
  6. Step 6: Final answer
    x = 475.15

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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.