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Finding the Fourth Proportional to 976.33, 1,464.54 and 689.05

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Solution

The fourth proportional to 976.33, 1,464.54 and 689.05 is: 1,033.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.33 : 1,464.54 = 689.05 : x
  2. Step 2: Convert to fraction form
    976.33/1,464.54 = 689.05/x
  3. Step 3: Cross multiply
    976.33x = 1,464.54 × 689.05
  4. Step 4: Simplify right side
    976.33x = 1,009,141.29
  5. Step 5: Solve for x
    x = 1,009,141.29/976.33
  6. Step 6: Final answer
    x = 1,033.61

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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.