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Finding the Fourth Proportional to 1,411.24, 2,116.62 and 385

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Solution

The fourth proportional to 1,411.24, 2,116.62 and 385 is: 577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.24 : 2,116.62 = 385 : x
  2. Step 2: Convert to fraction form
    1,411.24/2,116.62 = 385/x
  3. Step 3: Cross multiply
    1,411.24x = 2,116.62 × 385
  4. Step 4: Simplify right side
    1,411.24x = 814,898.70
  5. Step 5: Solve for x
    x = 814,898.70/1,411.24
  6. Step 6: Final answer
    x = 577.43

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.