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Finding the Fourth Proportional to 938.65, 1,407.20 and 547.69

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Solution

The fourth proportional to 938.65, 1,407.20 and 547.69 is: 821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.65 : 1,407.20 = 547.69 : x
  2. Step 2: Convert to fraction form
    938.65/1,407.20 = 547.69/x
  3. Step 3: Cross multiply
    938.65x = 1,407.20 × 547.69
  4. Step 4: Simplify right side
    938.65x = 770,705.17
  5. Step 5: Solve for x
    x = 770,705.17/938.65
  6. Step 6: Final answer
    x = 821.08

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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.