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Finding the Fourth Proportional to 972.47, 1,342.04 and 552.86

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Solution

The fourth proportional to 972.47, 1,342.04 and 552.86 is: 762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.47 : 1,342.04 = 552.86 : x
  2. Step 2: Convert to fraction form
    972.47/1,342.04 = 552.86/x
  3. Step 3: Cross multiply
    972.47x = 1,342.04 × 552.86
  4. Step 4: Simplify right side
    972.47x = 741,959.75
  5. Step 5: Solve for x
    x = 741,959.75/972.47
  6. Step 6: Final answer
    x = 762.97

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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.