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Finding the Fourth Proportional to 552.47, 762.05 and 478.65

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Solution

The fourth proportional to 552.47, 762.05 and 478.65 is: 660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 762.05 = 478.65 : x
  2. Step 2: Convert to fraction form
    552.47/762.05 = 478.65/x
  3. Step 3: Cross multiply
    552.47x = 762.05 × 478.65
  4. Step 4: Simplify right side
    552.47x = 364,752.84
  5. Step 5: Solve for x
    x = 364,752.84/552.47
  6. Step 6: Final answer
    x = 660.23

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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.