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Finding the Fourth Proportional to 731.65, 1,097.75 and 292.93

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Solution

The fourth proportional to 731.65, 1,097.75 and 292.93 is: 439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.65 : 1,097.75 = 292.93 : x
  2. Step 2: Convert to fraction form
    731.65/1,097.75 = 292.93/x
  3. Step 3: Cross multiply
    731.65x = 1,097.75 × 292.93
  4. Step 4: Simplify right side
    731.65x = 321,563.91
  5. Step 5: Solve for x
    x = 321,563.91/731.65
  6. Step 6: Final answer
    x = 439.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.