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Finding the Fourth Proportional to 1,454.76, 2,007.16 and 982.66

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Solution

The fourth proportional to 1,454.76, 2,007.16 and 982.66 is: 1,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.76 : 2,007.16 = 982.66 : x
  2. Step 2: Convert to fraction form
    1,454.76/2,007.16 = 982.66/x
  3. Step 3: Cross multiply
    1,454.76x = 2,007.16 × 982.66
  4. Step 4: Simplify right side
    1,454.76x = 1,972,355.85
  5. Step 5: Solve for x
    x = 1,972,355.85/1,454.76
  6. Step 6: Final answer
    x = 1,355.79

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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.