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Finding the Fourth Proportional to 729.57, 1,088.46 and 642.09

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Solution

The fourth proportional to 729.57, 1,088.46 and 642.09 is: 957.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.57 : 1,088.46 = 642.09 : x
  2. Step 2: Convert to fraction form
    729.57/1,088.46 = 642.09/x
  3. Step 3: Cross multiply
    729.57x = 1,088.46 × 642.09
  4. Step 4: Simplify right side
    729.57x = 698,889.28
  5. Step 5: Solve for x
    x = 698,889.28/729.57
  6. Step 6: Final answer
    x = 957.95

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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.