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Finding the Fourth Proportional to 822.40, 1,233.46 and 411.10

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Solution

The fourth proportional to 822.40, 1,233.46 and 411.10 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.40 : 1,233.46 = 411.10 : x
  2. Step 2: Convert to fraction form
    822.40/1,233.46 = 411.10/x
  3. Step 3: Cross multiply
    822.40x = 1,233.46 × 411.10
  4. Step 4: Simplify right side
    822.40x = 507,075.41
  5. Step 5: Solve for x
    x = 507,075.41/822.40
  6. Step 6: Final answer
    x = 616.58

Related Problems

Find fourth proportional to 411.20, 616.73 and 205.55
Half scale
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Double scale
Find fourth proportional to 823.40, 1,234.96 and 412.10
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.