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Finding the Fourth Proportional to 882.84, 1,324.26 and 258.20

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Solution

The fourth proportional to 882.84, 1,324.26 and 258.20 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.84 : 1,324.26 = 258.20 : x
  2. Step 2: Convert to fraction form
    882.84/1,324.26 = 258.20/x
  3. Step 3: Cross multiply
    882.84x = 1,324.26 × 258.20
  4. Step 4: Simplify right side
    882.84x = 341,917.31
  5. Step 5: Solve for x
    x = 341,917.31/882.84
  6. Step 6: Final answer
    x = 387.29

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Double scale
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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.