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Finding the Fourth Proportional to 969.65, 1,337.73 and 718.19

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Solution

The fourth proportional to 969.65, 1,337.73 and 718.19 is: 990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.65 : 1,337.73 = 718.19 : x
  2. Step 2: Convert to fraction form
    969.65/1,337.73 = 718.19/x
  3. Step 3: Cross multiply
    969.65x = 1,337.73 × 718.19
  4. Step 4: Simplify right side
    969.65x = 960,737.62
  5. Step 5: Solve for x
    x = 960,737.62/969.65
  6. Step 6: Final answer
    x = 990.81

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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.