Home / 1,003.20-1,384.08-588.96

Finding the Fourth Proportional to 1,003.20, 1,384.08 and 588.96

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Solution

The fourth proportional to 1,003.20, 1,384.08 and 588.96 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.20 : 1,384.08 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,003.20/1,384.08 = 588.96/x
  3. Step 3: Cross multiply
    1,003.20x = 1,384.08 × 588.96
  4. Step 4: Simplify right side
    1,003.20x = 815,167.76
  5. Step 5: Solve for x
    x = 815,167.76/1,003.20
  6. Step 6: Final answer
    x = 812.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.