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Finding the Fourth Proportional to 1,339.90, 2,010.89 and 877.57

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Solution

The fourth proportional to 1,339.90, 2,010.89 and 877.57 is: 1,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.90 : 2,010.89 = 877.57 : x
  2. Step 2: Convert to fraction form
    1,339.90/2,010.89 = 877.57/x
  3. Step 3: Cross multiply
    1,339.90x = 2,010.89 × 877.57
  4. Step 4: Simplify right side
    1,339.90x = 1,764,696.74
  5. Step 5: Solve for x
    x = 1,764,696.74/1,339.90
  6. Step 6: Final answer
    x = 1,317.04

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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.