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Finding the Fourth Proportional to 465.95, 701.68 and 405.80

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Solution

The fourth proportional to 465.95, 701.68 and 405.80 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.95 : 701.68 = 405.80 : x
  2. Step 2: Convert to fraction form
    465.95/701.68 = 405.80/x
  3. Step 3: Cross multiply
    465.95x = 701.68 × 405.80
  4. Step 4: Simplify right side
    465.95x = 284,737.22
  5. Step 5: Solve for x
    x = 284,737.22/465.95
  6. Step 6: Final answer
    x = 611.10

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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.