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Finding the Fourth Proportional to 565.39, 780 and 344.30

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Solution

The fourth proportional to 565.39, 780 and 344.30 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.39 : 780 = 344.30 : x
  2. Step 2: Convert to fraction form
    565.39/780 = 344.30/x
  3. Step 3: Cross multiply
    565.39x = 780 × 344.30
  4. Step 4: Simplify right side
    565.39x = 268,554
  5. Step 5: Solve for x
    x = 268,554/565.39
  6. Step 6: Final answer
    x = 474.99

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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.