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Finding the Fourth Proportional to 1,580.47, 2,180.84 and 950.90

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Solution

The fourth proportional to 1,580.47, 2,180.84 and 950.90 is: 1,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.47 : 2,180.84 = 950.90 : x
  2. Step 2: Convert to fraction form
    1,580.47/2,180.84 = 950.90/x
  3. Step 3: Cross multiply
    1,580.47x = 2,180.84 × 950.90
  4. Step 4: Simplify right side
    1,580.47x = 2,073,745.10
  5. Step 5: Solve for x
    x = 2,073,745.10/1,580.47
  6. Step 6: Final answer
    x = 1,312.11

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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.