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Finding the Fourth Proportional to 972.43, 1,341.72 and 552.69

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Solution

The fourth proportional to 972.43, 1,341.72 and 552.69 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.43 : 1,341.72 = 552.69 : x
  2. Step 2: Convert to fraction form
    972.43/1,341.72 = 552.69/x
  3. Step 3: Cross multiply
    972.43x = 1,341.72 × 552.69
  4. Step 4: Simplify right side
    972.43x = 741,555.23
  5. Step 5: Solve for x
    x = 741,555.23/972.43
  6. Step 6: Final answer
    x = 762.58

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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.