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Finding the Fourth Proportional to 1,151.73, 1,587.48 and 815.19

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Solution

The fourth proportional to 1,151.73, 1,587.48 and 815.19 is: 1,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.73 : 1,587.48 = 815.19 : x
  2. Step 2: Convert to fraction form
    1,151.73/1,587.48 = 815.19/x
  3. Step 3: Cross multiply
    1,151.73x = 1,587.48 × 815.19
  4. Step 4: Simplify right side
    1,151.73x = 1,294,097.82
  5. Step 5: Solve for x
    x = 1,294,097.82/1,151.73
  6. Step 6: Final answer
    x = 1,123.61

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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.