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Finding the Fourth Proportional to 934.97, 1,289.79 and 810.43

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Solution

The fourth proportional to 934.97, 1,289.79 and 810.43 is: 1,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.97 : 1,289.79 = 810.43 : x
  2. Step 2: Convert to fraction form
    934.97/1,289.79 = 810.43/x
  3. Step 3: Cross multiply
    934.97x = 1,289.79 × 810.43
  4. Step 4: Simplify right side
    934.97x = 1,045,281.29
  5. Step 5: Solve for x
    x = 1,045,281.29/934.97
  6. Step 6: Final answer
    x = 1,117.99

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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.