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Finding the Fourth Proportional to 761.45, 1,142.35 and 274.50

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Solution

The fourth proportional to 761.45, 1,142.35 and 274.50 is: 411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.45 : 1,142.35 = 274.50 : x
  2. Step 2: Convert to fraction form
    761.45/1,142.35 = 274.50/x
  3. Step 3: Cross multiply
    761.45x = 1,142.35 × 274.50
  4. Step 4: Simplify right side
    761.45x = 313,574.39
  5. Step 5: Solve for x
    x = 313,574.39/761.45
  6. Step 6: Final answer
    x = 411.81

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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.