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Finding the Fourth Proportional to 956.43, 1,309.98 and 900.38

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Solution

The fourth proportional to 956.43, 1,309.98 and 900.38 is: 1,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.43 : 1,309.98 = 900.38 : x
  2. Step 2: Convert to fraction form
    956.43/1,309.98 = 900.38/x
  3. Step 3: Cross multiply
    956.43x = 1,309.98 × 900.38
  4. Step 4: Simplify right side
    956.43x = 1,179,479.79
  5. Step 5: Solve for x
    x = 1,179,479.79/956.43
  6. Step 6: Final answer
    x = 1,233.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.