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Finding the Fourth Proportional to 460.60, 694.55 and 410.20

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Solution

The fourth proportional to 460.60, 694.55 and 410.20 is: 618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.60 : 694.55 = 410.20 : x
  2. Step 2: Convert to fraction form
    460.60/694.55 = 410.20/x
  3. Step 3: Cross multiply
    460.60x = 694.55 × 410.20
  4. Step 4: Simplify right side
    460.60x = 284,904.41
  5. Step 5: Solve for x
    x = 284,904.41/460.60
  6. Step 6: Final answer
    x = 618.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.