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Finding the Fourth Proportional to 761.49, 1,141.31 and 452.67

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Solution

The fourth proportional to 761.49, 1,141.31 and 452.67 is: 678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.49 : 1,141.31 = 452.67 : x
  2. Step 2: Convert to fraction form
    761.49/1,141.31 = 452.67/x
  3. Step 3: Cross multiply
    761.49x = 1,141.31 × 452.67
  4. Step 4: Simplify right side
    761.49x = 516,634.53
  5. Step 5: Solve for x
    x = 516,634.53/761.49
  6. Step 6: Final answer
    x = 678.45

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1.5x scale

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.