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Finding the Fourth Proportional to 1,546.76, 2,318.20 and 668.23

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Solution

The fourth proportional to 1,546.76, 2,318.20 and 668.23 is: 1,001.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.76 : 2,318.20 = 668.23 : x
  2. Step 2: Convert to fraction form
    1,546.76/2,318.20 = 668.23/x
  3. Step 3: Cross multiply
    1,546.76x = 2,318.20 × 668.23
  4. Step 4: Simplify right side
    1,546.76x = 1,549,083.32
  5. Step 5: Solve for x
    x = 1,549,083.32/1,546.76
  6. Step 6: Final answer
    x = 1,001.50

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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.