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Finding the Fourth Proportional to 761.87, 1,142.79 and 274.95

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Solution

The fourth proportional to 761.87, 1,142.79 and 274.95 is: 412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.87 : 1,142.79 = 274.95 : x
  2. Step 2: Convert to fraction form
    761.87/1,142.79 = 274.95/x
  3. Step 3: Cross multiply
    761.87x = 1,142.79 × 274.95
  4. Step 4: Simplify right side
    761.87x = 314,210.11
  5. Step 5: Solve for x
    x = 314,210.11/761.87
  6. Step 6: Final answer
    x = 412.42

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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.