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Finding the Fourth Proportional to 1,461.60, 2,188.80 and 691.20

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Solution

The fourth proportional to 1,461.60, 2,188.80 and 691.20 is: 1,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.60 : 2,188.80 = 691.20 : x
  2. Step 2: Convert to fraction form
    1,461.60/2,188.80 = 691.20/x
  3. Step 3: Cross multiply
    1,461.60x = 2,188.80 × 691.20
  4. Step 4: Simplify right side
    1,461.60x = 1,512,898.56
  5. Step 5: Solve for x
    x = 1,512,898.56/1,461.60
  6. Step 6: Final answer
    x = 1,035.10

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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.