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Finding the Fourth Proportional to 933.75, 1,401.03 and 689.13

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Solution

The fourth proportional to 933.75, 1,401.03 and 689.13 is: 1,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.75 : 1,401.03 = 689.13 : x
  2. Step 2: Convert to fraction form
    933.75/1,401.03 = 689.13/x
  3. Step 3: Cross multiply
    933.75x = 1,401.03 × 689.13
  4. Step 4: Simplify right side
    933.75x = 965,491.80
  5. Step 5: Solve for x
    x = 965,491.80/933.75
  6. Step 6: Final answer
    x = 1,033.99

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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.