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Finding the Fourth Proportional to 761.14, 1,051.05 and 481.87

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Solution

The fourth proportional to 761.14, 1,051.05 and 481.87 is: 665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.14 : 1,051.05 = 481.87 : x
  2. Step 2: Convert to fraction form
    761.14/1,051.05 = 481.87/x
  3. Step 3: Cross multiply
    761.14x = 1,051.05 × 481.87
  4. Step 4: Simplify right side
    761.14x = 506,469.46
  5. Step 5: Solve for x
    x = 506,469.46/761.14
  6. Step 6: Final answer
    x = 665.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.