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Finding the Fourth Proportional to 968.54, 1,446.92 and 619.08

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Solution

The fourth proportional to 968.54, 1,446.92 and 619.08 is: 924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.54 : 1,446.92 = 619.08 : x
  2. Step 2: Convert to fraction form
    968.54/1,446.92 = 619.08/x
  3. Step 3: Cross multiply
    968.54x = 1,446.92 × 619.08
  4. Step 4: Simplify right side
    968.54x = 895,759.23
  5. Step 5: Solve for x
    x = 895,759.23/968.54
  6. Step 6: Final answer
    x = 924.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.