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Finding the Fourth Proportional to 485.66, 732.11 and 478.37

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Solution

The fourth proportional to 485.66, 732.11 and 478.37 is: 721.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.66 : 732.11 = 478.37 : x
  2. Step 2: Convert to fraction form
    485.66/732.11 = 478.37/x
  3. Step 3: Cross multiply
    485.66x = 732.11 × 478.37
  4. Step 4: Simplify right side
    485.66x = 350,218.90
  5. Step 5: Solve for x
    x = 350,218.90/485.66
  6. Step 6: Final answer
    x = 721.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.