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Finding the Fourth Proportional to 560.54, 843.77 and 431.25

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Solution

The fourth proportional to 560.54, 843.77 and 431.25 is: 649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.54 : 843.77 = 431.25 : x
  2. Step 2: Convert to fraction form
    560.54/843.77 = 431.25/x
  3. Step 3: Cross multiply
    560.54x = 843.77 × 431.25
  4. Step 4: Simplify right side
    560.54x = 363,873.66
  5. Step 5: Solve for x
    x = 363,873.66/560.54
  6. Step 6: Final answer
    x = 649.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.