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Finding the Fourth Proportional to 822.69, 1,134.90 and 490.92

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Solution

The fourth proportional to 822.69, 1,134.90 and 490.92 is: 677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.69 : 1,134.90 = 490.92 : x
  2. Step 2: Convert to fraction form
    822.69/1,134.90 = 490.92/x
  3. Step 3: Cross multiply
    822.69x = 1,134.90 × 490.92
  4. Step 4: Simplify right side
    822.69x = 557,145.11
  5. Step 5: Solve for x
    x = 557,145.11/822.69
  6. Step 6: Final answer
    x = 677.22

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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.