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Finding the Fourth Proportional to 1,146.25, 1,581.19 and 815.17

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Solution

The fourth proportional to 1,146.25, 1,581.19 and 815.17 is: 1,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.25 : 1,581.19 = 815.17 : x
  2. Step 2: Convert to fraction form
    1,146.25/1,581.19 = 815.17/x
  3. Step 3: Cross multiply
    1,146.25x = 1,581.19 × 815.17
  4. Step 4: Simplify right side
    1,146.25x = 1,288,938.65
  5. Step 5: Solve for x
    x = 1,288,938.65/1,146.25
  6. Step 6: Final answer
    x = 1,124.48

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Half scale
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Double scale
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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.