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Finding the Fourth Proportional to 760.50, 1,049.85 and 733.14

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Solution

The fourth proportional to 760.50, 1,049.85 and 733.14 is: 1,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.50 : 1,049.85 = 733.14 : x
  2. Step 2: Convert to fraction form
    760.50/1,049.85 = 733.14/x
  3. Step 3: Cross multiply
    760.50x = 1,049.85 × 733.14
  4. Step 4: Simplify right side
    760.50x = 769,687.03
  5. Step 5: Solve for x
    x = 769,687.03/760.50
  6. Step 6: Final answer
    x = 1,012.08

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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.