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Finding the Fourth Proportional to 565.87, 780.69 and 355.97

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Solution

The fourth proportional to 565.87, 780.69 and 355.97 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.87 : 780.69 = 355.97 : x
  2. Step 2: Convert to fraction form
    565.87/780.69 = 355.97/x
  3. Step 3: Cross multiply
    565.87x = 780.69 × 355.97
  4. Step 4: Simplify right side
    565.87x = 277,901.31
  5. Step 5: Solve for x
    x = 277,901.31/565.87
  6. Step 6: Final answer
    x = 491.10

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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.