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Finding the Fourth Proportional to 465.60, 694.80 and 410.88

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Solution

The fourth proportional to 465.60, 694.80 and 410.88 is: 613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 694.80 = 410.88 : x
  2. Step 2: Convert to fraction form
    465.60/694.80 = 410.88/x
  3. Step 3: Cross multiply
    465.60x = 694.80 × 410.88
  4. Step 4: Simplify right side
    465.60x = 285,479.42
  5. Step 5: Solve for x
    x = 285,479.42/465.60
  6. Step 6: Final answer
    x = 613.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.