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Finding the Fourth Proportional to 691.90, 1,038.18 and 326.63

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Solution

The fourth proportional to 691.90, 1,038.18 and 326.63 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.90 : 1,038.18 = 326.63 : x
  2. Step 2: Convert to fraction form
    691.90/1,038.18 = 326.63/x
  3. Step 3: Cross multiply
    691.90x = 1,038.18 × 326.63
  4. Step 4: Simplify right side
    691.90x = 339,100.73
  5. Step 5: Solve for x
    x = 339,100.73/691.90
  6. Step 6: Final answer
    x = 490.10

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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.