Home / 1,022.60-1,531.20-609.80

Finding the Fourth Proportional to 1,022.60, 1,531.20 and 609.80

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Solution

The fourth proportional to 1,022.60, 1,531.20 and 609.80 is: 913.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.60 : 1,531.20 = 609.80 : x
  2. Step 2: Convert to fraction form
    1,022.60/1,531.20 = 609.80/x
  3. Step 3: Cross multiply
    1,022.60x = 1,531.20 × 609.80
  4. Step 4: Simplify right side
    1,022.60x = 933,725.76
  5. Step 5: Solve for x
    x = 933,725.76/1,022.60
  6. Step 6: Final answer
    x = 913.09

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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.