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Finding the Fourth Proportional to 1,321.69, 1,823.96 and 724.18

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Solution

The fourth proportional to 1,321.69, 1,823.96 and 724.18 is: 999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.69 : 1,823.96 = 724.18 : x
  2. Step 2: Convert to fraction form
    1,321.69/1,823.96 = 724.18/x
  3. Step 3: Cross multiply
    1,321.69x = 1,823.96 × 724.18
  4. Step 4: Simplify right side
    1,321.69x = 1,320,875.35
  5. Step 5: Solve for x
    x = 1,320,875.35/1,321.69
  6. Step 6: Final answer
    x = 999.38

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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.