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Finding the Fourth Proportional to 560.41, 839.23 and 386.59

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Solution

The fourth proportional to 560.41, 839.23 and 386.59 is: 578.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.41 : 839.23 = 386.59 : x
  2. Step 2: Convert to fraction form
    560.41/839.23 = 386.59/x
  3. Step 3: Cross multiply
    560.41x = 839.23 × 386.59
  4. Step 4: Simplify right side
    560.41x = 324,431.80
  5. Step 5: Solve for x
    x = 324,431.80/560.41
  6. Step 6: Final answer
    x = 578.92

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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.