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Finding the Fourth Proportional to 823.11, 1,234.24 and 275.10

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Solution

The fourth proportional to 823.11, 1,234.24 and 275.10 is: 412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.11 : 1,234.24 = 275.10 : x
  2. Step 2: Convert to fraction form
    823.11/1,234.24 = 275.10/x
  3. Step 3: Cross multiply
    823.11x = 1,234.24 × 275.10
  4. Step 4: Simplify right side
    823.11x = 339,539.42
  5. Step 5: Solve for x
    x = 339,539.42/823.11
  6. Step 6: Final answer
    x = 412.51

Related Problems

Find fourth proportional to 411.56, 617.12 and 137.55
Half scale
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Double scale
Find fourth proportional to 824.11, 1,235.74 and 276.10
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.