Home / 1,580.52-2,180.20-917.13

Finding the Fourth Proportional to 1,580.52, 2,180.20 and 917.13

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Solution

The fourth proportional to 1,580.52, 2,180.20 and 917.13 is: 1,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.52 : 2,180.20 = 917.13 : x
  2. Step 2: Convert to fraction form
    1,580.52/2,180.20 = 917.13/x
  3. Step 3: Cross multiply
    1,580.52x = 2,180.20 × 917.13
  4. Step 4: Simplify right side
    1,580.52x = 1,999,526.83
  5. Step 5: Solve for x
    x = 1,999,526.83/1,580.52
  6. Step 6: Final answer
    x = 1,265.11

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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.