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Finding the Fourth Proportional to 1,150.73, 1,726.40 and 420.92

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Solution

The fourth proportional to 1,150.73, 1,726.40 and 420.92 is: 631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.73 : 1,726.40 = 420.92 : x
  2. Step 2: Convert to fraction form
    1,150.73/1,726.40 = 420.92/x
  3. Step 3: Cross multiply
    1,150.73x = 1,726.40 × 420.92
  4. Step 4: Simplify right side
    1,150.73x = 726,676.29
  5. Step 5: Solve for x
    x = 726,676.29/1,150.73
  6. Step 6: Final answer
    x = 631.49

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.