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Finding the Fourth Proportional to 615.01, 920.78 and 461.65

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Solution

The fourth proportional to 615.01, 920.78 and 461.65 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.01 : 920.78 = 461.65 : x
  2. Step 2: Convert to fraction form
    615.01/920.78 = 461.65/x
  3. Step 3: Cross multiply
    615.01x = 920.78 × 461.65
  4. Step 4: Simplify right side
    615.01x = 425,078.09
  5. Step 5: Solve for x
    x = 425,078.09/615.01
  6. Step 6: Final answer
    x = 691.17

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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.