Home / 1,531.50-2,296.63-800.61

Finding the Fourth Proportional to 1,531.50, 2,296.63 and 800.61

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Solution

The fourth proportional to 1,531.50, 2,296.63 and 800.61 is: 1,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.50 : 2,296.63 = 800.61 : x
  2. Step 2: Convert to fraction form
    1,531.50/2,296.63 = 800.61/x
  3. Step 3: Cross multiply
    1,531.50x = 2,296.63 × 800.61
  4. Step 4: Simplify right side
    1,531.50x = 1,838,704.94
  5. Step 5: Solve for x
    x = 1,838,704.94/1,531.50
  6. Step 6: Final answer
    x = 1,200.59

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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.