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Finding the Fourth Proportional to 1,151.76, 1,589.23 and 654.21

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Solution

The fourth proportional to 1,151.76, 1,589.23 and 654.21 is: 902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.76 : 1,589.23 = 654.21 : x
  2. Step 2: Convert to fraction form
    1,151.76/1,589.23 = 654.21/x
  3. Step 3: Cross multiply
    1,151.76x = 1,589.23 × 654.21
  4. Step 4: Simplify right side
    1,151.76x = 1,039,690.16
  5. Step 5: Solve for x
    x = 1,039,690.16/1,151.76
  6. Step 6: Final answer
    x = 902.70

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Double scale
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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.