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Finding the Fourth Proportional to 1,149.76, 1,586.42 and 677.33

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Solution

The fourth proportional to 1,149.76, 1,586.42 and 677.33 is: 934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.76 : 1,586.42 = 677.33 : x
  2. Step 2: Convert to fraction form
    1,149.76/1,586.42 = 677.33/x
  3. Step 3: Cross multiply
    1,149.76x = 1,586.42 × 677.33
  4. Step 4: Simplify right side
    1,149.76x = 1,074,529.86
  5. Step 5: Solve for x
    x = 1,074,529.86/1,149.76
  6. Step 6: Final answer
    x = 934.57

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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.