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Finding the Fourth Proportional to 976.71, 1,346.98 and 645.48

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Solution

The fourth proportional to 976.71, 1,346.98 and 645.48 is: 890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.71 : 1,346.98 = 645.48 : x
  2. Step 2: Convert to fraction form
    976.71/1,346.98 = 645.48/x
  3. Step 3: Cross multiply
    976.71x = 1,346.98 × 645.48
  4. Step 4: Simplify right side
    976.71x = 869,448.65
  5. Step 5: Solve for x
    x = 869,448.65/976.71
  6. Step 6: Final answer
    x = 890.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.