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Finding the Fourth Proportional to 1,650.46, 2,278.60 and 987.52

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Solution

The fourth proportional to 1,650.46, 2,278.60 and 987.52 is: 1,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.46 : 2,278.60 = 987.52 : x
  2. Step 2: Convert to fraction form
    1,650.46/2,278.60 = 987.52/x
  3. Step 3: Cross multiply
    1,650.46x = 2,278.60 × 987.52
  4. Step 4: Simplify right side
    1,650.46x = 2,250,163.07
  5. Step 5: Solve for x
    x = 2,250,163.07/1,650.46
  6. Step 6: Final answer
    x = 1,363.36

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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.