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Finding the Fourth Proportional to 560.61, 773.73 and 421.43

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Solution

The fourth proportional to 560.61, 773.73 and 421.43 is: 581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.61 : 773.73 = 421.43 : x
  2. Step 2: Convert to fraction form
    560.61/773.73 = 421.43/x
  3. Step 3: Cross multiply
    560.61x = 773.73 × 421.43
  4. Step 4: Simplify right side
    560.61x = 326,069.17
  5. Step 5: Solve for x
    x = 326,069.17/560.61
  6. Step 6: Final answer
    x = 581.63

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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.