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Finding the Fourth Proportional to 756.75, 1,135.35 and 626.16

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Solution

The fourth proportional to 756.75, 1,135.35 and 626.16 is: 939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.75 : 1,135.35 = 626.16 : x
  2. Step 2: Convert to fraction form
    756.75/1,135.35 = 626.16/x
  3. Step 3: Cross multiply
    756.75x = 1,135.35 × 626.16
  4. Step 4: Simplify right side
    756.75x = 710,901.95
  5. Step 5: Solve for x
    x = 710,901.95/756.75
  6. Step 6: Final answer
    x = 939.42

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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.