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Finding the Fourth Proportional to 694.50, 1,040.80 and 585.48

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Solution

The fourth proportional to 694.50, 1,040.80 and 585.48 is: 877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.50 : 1,040.80 = 585.48 : x
  2. Step 2: Convert to fraction form
    694.50/1,040.80 = 585.48/x
  3. Step 3: Cross multiply
    694.50x = 1,040.80 × 585.48
  4. Step 4: Simplify right side
    694.50x = 609,367.58
  5. Step 5: Solve for x
    x = 609,367.58/694.50
  6. Step 6: Final answer
    x = 877.42

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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.