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Finding the Fourth Proportional to 761.22, 1,141.14 and 487.38

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Solution

The fourth proportional to 761.22, 1,141.14 and 487.38 is: 730.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.22 : 1,141.14 = 487.38 : x
  2. Step 2: Convert to fraction form
    761.22/1,141.14 = 487.38/x
  3. Step 3: Cross multiply
    761.22x = 1,141.14 × 487.38
  4. Step 4: Simplify right side
    761.22x = 556,168.81
  5. Step 5: Solve for x
    x = 556,168.81/761.22
  6. Step 6: Final answer
    x = 730.63

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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.