Home / 1,220.38-1,829.34-527.50

Finding the Fourth Proportional to 1,220.38, 1,829.34 and 527.50

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Solution

The fourth proportional to 1,220.38, 1,829.34 and 527.50 is: 790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.38 : 1,829.34 = 527.50 : x
  2. Step 2: Convert to fraction form
    1,220.38/1,829.34 = 527.50/x
  3. Step 3: Cross multiply
    1,220.38x = 1,829.34 × 527.50
  4. Step 4: Simplify right side
    1,220.38x = 964,976.85
  5. Step 5: Solve for x
    x = 964,976.85/1,220.38
  6. Step 6: Final answer
    x = 790.72

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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.