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Finding the Fourth Proportional to 934.94, 1,282.13 and 887.56

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Solution

The fourth proportional to 934.94, 1,282.13 and 887.56 is: 1,217.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.94 : 1,282.13 = 887.56 : x
  2. Step 2: Convert to fraction form
    934.94/1,282.13 = 887.56/x
  3. Step 3: Cross multiply
    934.94x = 1,282.13 × 887.56
  4. Step 4: Simplify right side
    934.94x = 1,137,962.99
  5. Step 5: Solve for x
    x = 1,137,962.99/934.94
  6. Step 6: Final answer
    x = 1,217.15

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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.