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Finding the Fourth Proportional to 552.24, 762.08 and 478.53

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Solution

The fourth proportional to 552.24, 762.08 and 478.53 is: 660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.24 : 762.08 = 478.53 : x
  2. Step 2: Convert to fraction form
    552.24/762.08 = 478.53/x
  3. Step 3: Cross multiply
    552.24x = 762.08 × 478.53
  4. Step 4: Simplify right side
    552.24x = 364,675.75
  5. Step 5: Solve for x
    x = 364,675.75/552.24
  6. Step 6: Final answer
    x = 660.36

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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.