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Finding the Fourth Proportional to 560.39, 839.90 and 494.78

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Solution

The fourth proportional to 560.39, 839.90 and 494.78 is: 741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.39 : 839.90 = 494.78 : x
  2. Step 2: Convert to fraction form
    560.39/839.90 = 494.78/x
  3. Step 3: Cross multiply
    560.39x = 839.90 × 494.78
  4. Step 4: Simplify right side
    560.39x = 415,562.76
  5. Step 5: Solve for x
    x = 415,562.76/560.39
  6. Step 6: Final answer
    x = 741.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.