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Finding the Fourth Proportional to 934.63, 1,289.74 and 698.11

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Solution

The fourth proportional to 934.63, 1,289.74 and 698.11 is: 963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.63 : 1,289.74 = 698.11 : x
  2. Step 2: Convert to fraction form
    934.63/1,289.74 = 698.11/x
  3. Step 3: Cross multiply
    934.63x = 1,289.74 × 698.11
  4. Step 4: Simplify right side
    934.63x = 900,380.39
  5. Step 5: Solve for x
    x = 900,380.39/934.63
  6. Step 6: Final answer
    x = 963.35

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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.