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Finding the Fourth Proportional to 822.69, 1,234.26 and 411.75

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Solution

The fourth proportional to 822.69, 1,234.26 and 411.75 is: 617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.69 : 1,234.26 = 411.75 : x
  2. Step 2: Convert to fraction form
    822.69/1,234.26 = 411.75/x
  3. Step 3: Cross multiply
    822.69x = 1,234.26 × 411.75
  4. Step 4: Simplify right side
    822.69x = 508,206.56
  5. Step 5: Solve for x
    x = 508,206.56/822.69
  6. Step 6: Final answer
    x = 617.74

Related Problems

Find fourth proportional to 411.35, 617.13 and 205.88
Half scale
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Double scale
Find fourth proportional to 823.69, 1,235.76 and 412.75
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.