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Finding the Fourth Proportional to 678.54, 1,016.91 and 590.25

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Solution

The fourth proportional to 678.54, 1,016.91 and 590.25 is: 884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 1,016.91 = 590.25 : x
  2. Step 2: Convert to fraction form
    678.54/1,016.91 = 590.25/x
  3. Step 3: Cross multiply
    678.54x = 1,016.91 × 590.25
  4. Step 4: Simplify right side
    678.54x = 600,231.13
  5. Step 5: Solve for x
    x = 600,231.13/678.54
  6. Step 6: Final answer
    x = 884.59

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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.