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Finding the Fourth Proportional to 1,766.30, 2,648.07 and 876.29

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Solution

The fourth proportional to 1,766.30, 2,648.07 and 876.29 is: 1,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.30 : 2,648.07 = 876.29 : x
  2. Step 2: Convert to fraction form
    1,766.30/2,648.07 = 876.29/x
  3. Step 3: Cross multiply
    1,766.30x = 2,648.07 × 876.29
  4. Step 4: Simplify right side
    1,766.30x = 2,320,464.02
  5. Step 5: Solve for x
    x = 2,320,464.02/1,766.30
  6. Step 6: Final answer
    x = 1,313.75

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1.5x scale

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.