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Finding the Fourth Proportional to 677.50, 1,015.88 and 399.95

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Solution

The fourth proportional to 677.50, 1,015.88 and 399.95 is: 599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.50 : 1,015.88 = 399.95 : x
  2. Step 2: Convert to fraction form
    677.50/1,015.88 = 399.95/x
  3. Step 3: Cross multiply
    677.50x = 1,015.88 × 399.95
  4. Step 4: Simplify right side
    677.50x = 406,301.21
  5. Step 5: Solve for x
    x = 406,301.21/677.50
  6. Step 6: Final answer
    x = 599.71

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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.