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Finding the Fourth Proportional to 959.43, 1,323.20 and 810.78

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Solution

The fourth proportional to 959.43, 1,323.20 and 810.78 is: 1,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.43 : 1,323.20 = 810.78 : x
  2. Step 2: Convert to fraction form
    959.43/1,323.20 = 810.78/x
  3. Step 3: Cross multiply
    959.43x = 1,323.20 × 810.78
  4. Step 4: Simplify right side
    959.43x = 1,072,824.10
  5. Step 5: Solve for x
    x = 1,072,824.10/959.43
  6. Step 6: Final answer
    x = 1,118.19

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1.5x scale

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.