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Finding the Fourth Proportional to 761.48, 1,140.87 and 274.22

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Solution

The fourth proportional to 761.48, 1,140.87 and 274.22 is: 410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.48 : 1,140.87 = 274.22 : x
  2. Step 2: Convert to fraction form
    761.48/1,140.87 = 274.22/x
  3. Step 3: Cross multiply
    761.48x = 1,140.87 × 274.22
  4. Step 4: Simplify right side
    761.48x = 312,849.37
  5. Step 5: Solve for x
    x = 312,849.37/761.48
  6. Step 6: Final answer
    x = 410.84

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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.