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Finding the Fourth Proportional to 460.98, 689.40 and 379.17

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Solution

The fourth proportional to 460.98, 689.40 and 379.17 is: 567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.98 : 689.40 = 379.17 : x
  2. Step 2: Convert to fraction form
    460.98/689.40 = 379.17/x
  3. Step 3: Cross multiply
    460.98x = 689.40 × 379.17
  4. Step 4: Simplify right side
    460.98x = 261,399.80
  5. Step 5: Solve for x
    x = 261,399.80/460.98
  6. Step 6: Final answer
    x = 567.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.