Home / 1,580.26-2,180.39-916.72

Finding the Fourth Proportional to 1,580.26, 2,180.39 and 916.72

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Solution

The fourth proportional to 1,580.26, 2,180.39 and 916.72 is: 1,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.26 : 2,180.39 = 916.72 : x
  2. Step 2: Convert to fraction form
    1,580.26/2,180.39 = 916.72/x
  3. Step 3: Cross multiply
    1,580.26x = 2,180.39 × 916.72
  4. Step 4: Simplify right side
    1,580.26x = 1,998,804.82
  5. Step 5: Solve for x
    x = 1,998,804.82/1,580.26
  6. Step 6: Final answer
    x = 1,264.86

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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.