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Finding the Fourth Proportional to 694, 1,040.55 and 474.70

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Solution

The fourth proportional to 694, 1,040.55 and 474.70 is: 711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    694 : 1,040.55 = 474.70 : x
  2. Step 2: Convert to fraction form
    694/1,040.55 = 474.70/x
  3. Step 3: Cross multiply
    694x = 1,040.55 × 474.70
  4. Step 4: Simplify right side
    694x = 493,949.09
  5. Step 5: Solve for x
    x = 493,949.09/694
  6. Step 6: Final answer
    x = 711.74

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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.