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Finding the Fourth Proportional to 1,078.08, 1,615.74 and 461.62

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Solution

The fourth proportional to 1,078.08, 1,615.74 and 461.62 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.08 : 1,615.74 = 461.62 : x
  2. Step 2: Convert to fraction form
    1,078.08/1,615.74 = 461.62/x
  3. Step 3: Cross multiply
    1,078.08x = 1,615.74 × 461.62
  4. Step 4: Simplify right side
    1,078.08x = 745,857.90
  5. Step 5: Solve for x
    x = 745,857.90/1,078.08
  6. Step 6: Final answer
    x = 691.84

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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.