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Finding the Fourth Proportional to 934.07, 1,401.78 and 753.65

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Solution

The fourth proportional to 934.07, 1,401.78 and 753.65 is: 1,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.07 : 1,401.78 = 753.65 : x
  2. Step 2: Convert to fraction form
    934.07/1,401.78 = 753.65/x
  3. Step 3: Cross multiply
    934.07x = 1,401.78 × 753.65
  4. Step 4: Simplify right side
    934.07x = 1,056,444.49
  5. Step 5: Solve for x
    x = 1,056,444.49/934.07
  6. Step 6: Final answer
    x = 1,131.02

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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.