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Finding the Fourth Proportional to 560.57, 839.42 and 414.36

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Solution

The fourth proportional to 560.57, 839.42 and 414.36 is: 620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.57 : 839.42 = 414.36 : x
  2. Step 2: Convert to fraction form
    560.57/839.42 = 414.36/x
  3. Step 3: Cross multiply
    560.57x = 839.42 × 414.36
  4. Step 4: Simplify right side
    560.57x = 347,820.00
  5. Step 5: Solve for x
    x = 347,820.00/560.57
  6. Step 6: Final answer
    x = 620.48

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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.