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Finding the Fourth Proportional to 1,285.89, 1,775.03 and 867.44

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Solution

The fourth proportional to 1,285.89, 1,775.03 and 867.44 is: 1,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.89 : 1,775.03 = 867.44 : x
  2. Step 2: Convert to fraction form
    1,285.89/1,775.03 = 867.44/x
  3. Step 3: Cross multiply
    1,285.89x = 1,775.03 × 867.44
  4. Step 4: Simplify right side
    1,285.89x = 1,539,718.81
  5. Step 5: Solve for x
    x = 1,539,718.81/1,285.89
  6. Step 6: Final answer
    x = 1,197.40

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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.