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Finding the Fourth Proportional to 1,652.70, 2,479.05 and 872.40

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Solution

The fourth proportional to 1,652.70, 2,479.05 and 872.40 is: 1,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.70 : 2,479.05 = 872.40 : x
  2. Step 2: Convert to fraction form
    1,652.70/2,479.05 = 872.40/x
  3. Step 3: Cross multiply
    1,652.70x = 2,479.05 × 872.40
  4. Step 4: Simplify right side
    1,652.70x = 2,162,723.22
  5. Step 5: Solve for x
    x = 2,162,723.22/1,652.70
  6. Step 6: Final answer
    x = 1,308.60

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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.