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Finding the Fourth Proportional to 972.76, 1,332.76 and 960.62

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Solution

The fourth proportional to 972.76, 1,332.76 and 960.62 is: 1,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.76 : 1,332.76 = 960.62 : x
  2. Step 2: Convert to fraction form
    972.76/1,332.76 = 960.62/x
  3. Step 3: Cross multiply
    972.76x = 1,332.76 × 960.62
  4. Step 4: Simplify right side
    972.76x = 1,280,275.91
  5. Step 5: Solve for x
    x = 1,280,275.91/972.76
  6. Step 6: Final answer
    x = 1,316.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.