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Finding the Fourth Proportional to 1,078.24, 1,617.90 and 462.10

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Solution

The fourth proportional to 1,078.24, 1,617.90 and 462.10 is: 693.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.24 : 1,617.90 = 462.10 : x
  2. Step 2: Convert to fraction form
    1,078.24/1,617.90 = 462.10/x
  3. Step 3: Cross multiply
    1,078.24x = 1,617.90 × 462.10
  4. Step 4: Simplify right side
    1,078.24x = 747,631.59
  5. Step 5: Solve for x
    x = 747,631.59/1,078.24
  6. Step 6: Final answer
    x = 693.38

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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.