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Finding the Fourth Proportional to 1,089.26, 1,502.44 and 923.19

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Solution

The fourth proportional to 1,089.26, 1,502.44 and 923.19 is: 1,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.26 : 1,502.44 = 923.19 : x
  2. Step 2: Convert to fraction form
    1,089.26/1,502.44 = 923.19/x
  3. Step 3: Cross multiply
    1,089.26x = 1,502.44 × 923.19
  4. Step 4: Simplify right side
    1,089.26x = 1,387,037.58
  5. Step 5: Solve for x
    x = 1,387,037.58/1,089.26
  6. Step 6: Final answer
    x = 1,273.38

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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.