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Finding the Fourth Proportional to 694.80, 959.40 and 474.48

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Solution

The fourth proportional to 694.80, 959.40 and 474.48 is: 655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.80 : 959.40 = 474.48 : x
  2. Step 2: Convert to fraction form
    694.80/959.40 = 474.48/x
  3. Step 3: Cross multiply
    694.80x = 959.40 × 474.48
  4. Step 4: Simplify right side
    694.80x = 455,216.11
  5. Step 5: Solve for x
    x = 455,216.11/694.80
  6. Step 6: Final answer
    x = 655.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.