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Finding the Fourth Proportional to 822.99, 1,234.56 and 275.18

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Solution

The fourth proportional to 822.99, 1,234.56 and 275.18 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.99 : 1,234.56 = 275.18 : x
  2. Step 2: Convert to fraction form
    822.99/1,234.56 = 275.18/x
  3. Step 3: Cross multiply
    822.99x = 1,234.56 × 275.18
  4. Step 4: Simplify right side
    822.99x = 339,726.48
  5. Step 5: Solve for x
    x = 339,726.48/822.99
  6. Step 6: Final answer
    x = 412.79

Related Problems

Find fourth proportional to 411.50, 617.28 and 137.59
Half scale
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Double scale
Find fourth proportional to 823.99, 1,236.06 and 276.18
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.