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Finding the Fourth Proportional to 1,321.69, 1,823.90 and 732.19

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Solution

The fourth proportional to 1,321.69, 1,823.90 and 732.19 is: 1,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.69 : 1,823.90 = 732.19 : x
  2. Step 2: Convert to fraction form
    1,321.69/1,823.90 = 732.19/x
  3. Step 3: Cross multiply
    1,321.69x = 1,823.90 × 732.19
  4. Step 4: Simplify right side
    1,321.69x = 1,335,441.34
  5. Step 5: Solve for x
    x = 1,335,441.34/1,321.69
  6. Step 6: Final answer
    x = 1,010.40

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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.