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Finding the Fourth Proportional to 972.27, 1,452.67 and 926.91

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Solution

The fourth proportional to 972.27, 1,452.67 and 926.91 is: 1,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.27 : 1,452.67 = 926.91 : x
  2. Step 2: Convert to fraction form
    972.27/1,452.67 = 926.91/x
  3. Step 3: Cross multiply
    972.27x = 1,452.67 × 926.91
  4. Step 4: Simplify right side
    972.27x = 1,346,492.03
  5. Step 5: Solve for x
    x = 1,346,492.03/972.27
  6. Step 6: Final answer
    x = 1,384.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.