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Finding the Fourth Proportional to 756.75, 1,136.03 and 463.33

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Solution

The fourth proportional to 756.75, 1,136.03 and 463.33 is: 695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.75 : 1,136.03 = 463.33 : x
  2. Step 2: Convert to fraction form
    756.75/1,136.03 = 463.33/x
  3. Step 3: Cross multiply
    756.75x = 1,136.03 × 463.33
  4. Step 4: Simplify right side
    756.75x = 526,356.78
  5. Step 5: Solve for x
    x = 526,356.78/756.75
  6. Step 6: Final answer
    x = 695.55

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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.