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Finding the Fourth Proportional to 561.60, 773.52 and 558.24

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Solution

The fourth proportional to 561.60, 773.52 and 558.24 is: 768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.60 : 773.52 = 558.24 : x
  2. Step 2: Convert to fraction form
    561.60/773.52 = 558.24/x
  3. Step 3: Cross multiply
    561.60x = 773.52 × 558.24
  4. Step 4: Simplify right side
    561.60x = 431,809.80
  5. Step 5: Solve for x
    x = 431,809.80/561.60
  6. Step 6: Final answer
    x = 768.89

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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.