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Finding the Fourth Proportional to 761.98, 1,141.16 and 487.22

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Solution

The fourth proportional to 761.98, 1,141.16 and 487.22 is: 729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.98 : 1,141.16 = 487.22 : x
  2. Step 2: Convert to fraction form
    761.98/1,141.16 = 487.22/x
  3. Step 3: Cross multiply
    761.98x = 1,141.16 × 487.22
  4. Step 4: Simplify right side
    761.98x = 555,995.98
  5. Step 5: Solve for x
    x = 555,995.98/761.98
  6. Step 6: Final answer
    x = 729.67

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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.