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Finding the Fourth Proportional to 1,078.29, 1,616.07 and 558.20

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Solution

The fourth proportional to 1,078.29, 1,616.07 and 558.20 is: 836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.29 : 1,616.07 = 558.20 : x
  2. Step 2: Convert to fraction form
    1,078.29/1,616.07 = 558.20/x
  3. Step 3: Cross multiply
    1,078.29x = 1,616.07 × 558.20
  4. Step 4: Simplify right side
    1,078.29x = 902,090.27
  5. Step 5: Solve for x
    x = 902,090.27/1,078.29
  6. Step 6: Final answer
    x = 836.59

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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.