Home / 1,580.05-2,180.23-916.78

Finding the Fourth Proportional to 1,580.05, 2,180.23 and 916.78

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Solution

The fourth proportional to 1,580.05, 2,180.23 and 916.78 is: 1,265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.05 : 2,180.23 = 916.78 : x
  2. Step 2: Convert to fraction form
    1,580.05/2,180.23 = 916.78/x
  3. Step 3: Cross multiply
    1,580.05x = 2,180.23 × 916.78
  4. Step 4: Simplify right side
    1,580.05x = 1,998,791.26
  5. Step 5: Solve for x
    x = 1,998,791.26/1,580.05
  6. Step 6: Final answer
    x = 1,265.02

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1.5x scale

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.