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Finding the Fourth Proportional to 1,149.54, 1,586.08 and 701.42

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Solution

The fourth proportional to 1,149.54, 1,586.08 and 701.42 is: 967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.54 : 1,586.08 = 701.42 : x
  2. Step 2: Convert to fraction form
    1,149.54/1,586.08 = 701.42/x
  3. Step 3: Cross multiply
    1,149.54x = 1,586.08 × 701.42
  4. Step 4: Simplify right side
    1,149.54x = 1,112,508.23
  5. Step 5: Solve for x
    x = 1,112,508.23/1,149.54
  6. Step 6: Final answer
    x = 967.79

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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.