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Finding the Fourth Proportional to 491.38, 732.62 and 478.75

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Solution

The fourth proportional to 491.38, 732.62 and 478.75 is: 713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.38 : 732.62 = 478.75 : x
  2. Step 2: Convert to fraction form
    491.38/732.62 = 478.75/x
  3. Step 3: Cross multiply
    491.38x = 732.62 × 478.75
  4. Step 4: Simplify right side
    491.38x = 350,741.83
  5. Step 5: Solve for x
    x = 350,741.83/491.38
  6. Step 6: Final answer
    x = 713.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.