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Finding the Fourth Proportional to 976.62, 1,465.69 and 456.35

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Solution

The fourth proportional to 976.62, 1,465.69 and 456.35 is: 684.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.62 : 1,465.69 = 456.35 : x
  2. Step 2: Convert to fraction form
    976.62/1,465.69 = 456.35/x
  3. Step 3: Cross multiply
    976.62x = 1,465.69 × 456.35
  4. Step 4: Simplify right side
    976.62x = 668,860.30
  5. Step 5: Solve for x
    x = 668,860.30/976.62
  6. Step 6: Final answer
    x = 684.88

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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.