Home / 1,042.50-1,562.36-580.04

Finding the Fourth Proportional to 1,042.50, 1,562.36 and 580.04

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Solution

The fourth proportional to 1,042.50, 1,562.36 and 580.04 is: 869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.50 : 1,562.36 = 580.04 : x
  2. Step 2: Convert to fraction form
    1,042.50/1,562.36 = 580.04/x
  3. Step 3: Cross multiply
    1,042.50x = 1,562.36 × 580.04
  4. Step 4: Simplify right side
    1,042.50x = 906,220.58
  5. Step 5: Solve for x
    x = 906,220.58/1,042.50
  6. Step 6: Final answer
    x = 869.28

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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.