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Finding the Fourth Proportional to 983.43, 1,477.26 and 956.09

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Solution

The fourth proportional to 983.43, 1,477.26 and 956.09 is: 1,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.43 : 1,477.26 = 956.09 : x
  2. Step 2: Convert to fraction form
    983.43/1,477.26 = 956.09/x
  3. Step 3: Cross multiply
    983.43x = 1,477.26 × 956.09
  4. Step 4: Simplify right side
    983.43x = 1,412,386.13
  5. Step 5: Solve for x
    x = 1,412,386.13/983.43
  6. Step 6: Final answer
    x = 1,436.18

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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.