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Finding the Fourth Proportional to 1,078.25, 1,616.36 and 462.38

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Solution

The fourth proportional to 1,078.25, 1,616.36 and 462.38 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.25 : 1,616.36 = 462.38 : x
  2. Step 2: Convert to fraction form
    1,078.25/1,616.36 = 462.38/x
  3. Step 3: Cross multiply
    1,078.25x = 1,616.36 × 462.38
  4. Step 4: Simplify right side
    1,078.25x = 747,362.14
  5. Step 5: Solve for x
    x = 747,362.14/1,078.25
  6. Step 6: Final answer
    x = 693.13

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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.