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Finding the Fourth Proportional to 557.52, 769.24 and 360.99

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Solution

The fourth proportional to 557.52, 769.24 and 360.99 is: 498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.52 : 769.24 = 360.99 : x
  2. Step 2: Convert to fraction form
    557.52/769.24 = 360.99/x
  3. Step 3: Cross multiply
    557.52x = 769.24 × 360.99
  4. Step 4: Simplify right side
    557.52x = 277,687.95
  5. Step 5: Solve for x
    x = 277,687.95/557.52
  6. Step 6: Final answer
    x = 498.08

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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.