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Finding the Fourth Proportional to 822.38, 1,134.90 and 473.09

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Solution

The fourth proportional to 822.38, 1,134.90 and 473.09 is: 652.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.38 : 1,134.90 = 473.09 : x
  2. Step 2: Convert to fraction form
    822.38/1,134.90 = 473.09/x
  3. Step 3: Cross multiply
    822.38x = 1,134.90 × 473.09
  4. Step 4: Simplify right side
    822.38x = 536,904.17
  5. Step 5: Solve for x
    x = 536,904.17/822.38
  6. Step 6: Final answer
    x = 652.87

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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.