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Finding the Fourth Proportional to 565.89, 780.78 and 356.17

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Solution

The fourth proportional to 565.89, 780.78 and 356.17 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 780.78 = 356.17 : x
  2. Step 2: Convert to fraction form
    565.89/780.78 = 356.17/x
  3. Step 3: Cross multiply
    565.89x = 780.78 × 356.17
  4. Step 4: Simplify right side
    565.89x = 278,090.41
  5. Step 5: Solve for x
    x = 278,090.41/565.89
  6. Step 6: Final answer
    x = 491.42

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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.