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Finding the Fourth Proportional to 822.75, 1,135.24 and 491.15

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Solution

The fourth proportional to 822.75, 1,135.24 and 491.15 is: 677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.75 : 1,135.24 = 491.15 : x
  2. Step 2: Convert to fraction form
    822.75/1,135.24 = 491.15/x
  3. Step 3: Cross multiply
    822.75x = 1,135.24 × 491.15
  4. Step 4: Simplify right side
    822.75x = 557,573.13
  5. Step 5: Solve for x
    x = 557,573.13/822.75
  6. Step 6: Final answer
    x = 677.69

Related Problems

Find fourth proportional to 411.38, 567.62 and 245.58
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.