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Finding the Fourth Proportional to 968.84, 1,446.81 and 918.92

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Solution

The fourth proportional to 968.84, 1,446.81 and 918.92 is: 1,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 1,446.81 = 918.92 : x
  2. Step 2: Convert to fraction form
    968.84/1,446.81 = 918.92/x
  3. Step 3: Cross multiply
    968.84x = 1,446.81 × 918.92
  4. Step 4: Simplify right side
    968.84x = 1,329,502.65
  5. Step 5: Solve for x
    x = 1,329,502.65/968.84
  6. Step 6: Final answer
    x = 1,372.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.