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Finding the Fourth Proportional to 972.28, 1,339.52 and 926.20

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Solution

The fourth proportional to 972.28, 1,339.52 and 926.20 is: 1,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.28 : 1,339.52 = 926.20 : x
  2. Step 2: Convert to fraction form
    972.28/1,339.52 = 926.20/x
  3. Step 3: Cross multiply
    972.28x = 1,339.52 × 926.20
  4. Step 4: Simplify right side
    972.28x = 1,240,663.42
  5. Step 5: Solve for x
    x = 1,240,663.42/972.28
  6. Step 6: Final answer
    x = 1,276.04

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1.5x scale

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.