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Finding the Fourth Proportional to 1,078.28, 1,616 and 590.26

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Solution

The fourth proportional to 1,078.28, 1,616 and 590.26 is: 884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.28 : 1,616 = 590.26 : x
  2. Step 2: Convert to fraction form
    1,078.28/1,616 = 590.26/x
  3. Step 3: Cross multiply
    1,078.28x = 1,616 × 590.26
  4. Step 4: Simplify right side
    1,078.28x = 953,860.16
  5. Step 5: Solve for x
    x = 953,860.16/1,078.28
  6. Step 6: Final answer
    x = 884.61

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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.