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Finding the Fourth Proportional to 821.49, 1,232.25 and 273.65

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Solution

The fourth proportional to 821.49, 1,232.25 and 273.65 is: 410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.49 : 1,232.25 = 273.65 : x
  2. Step 2: Convert to fraction form
    821.49/1,232.25 = 273.65/x
  3. Step 3: Cross multiply
    821.49x = 1,232.25 × 273.65
  4. Step 4: Simplify right side
    821.49x = 337,205.21
  5. Step 5: Solve for x
    x = 337,205.21/821.49
  6. Step 6: Final answer
    x = 410.48

Related Problems

Find fourth proportional to 410.75, 616.13 and 136.83
Half scale
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Double scale
Find fourth proportional to 822.49, 1,233.75 and 274.65
Similar ratio
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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.