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Finding the Fourth Proportional to 976.75, 1,465.33 and 399.63

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Solution

The fourth proportional to 976.75, 1,465.33 and 399.63 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.75 : 1,465.33 = 399.63 : x
  2. Step 2: Convert to fraction form
    976.75/1,465.33 = 399.63/x
  3. Step 3: Cross multiply
    976.75x = 1,465.33 × 399.63
  4. Step 4: Simplify right side
    976.75x = 585,582.50
  5. Step 5: Solve for x
    x = 585,582.50/976.75
  6. Step 6: Final answer
    x = 599.52

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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.