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Finding the Fourth Proportional to 761.89, 1,051.44 and 481.99

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Solution

The fourth proportional to 761.89, 1,051.44 and 481.99 is: 665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.89 : 1,051.44 = 481.99 : x
  2. Step 2: Convert to fraction form
    761.89/1,051.44 = 481.99/x
  3. Step 3: Cross multiply
    761.89x = 1,051.44 × 481.99
  4. Step 4: Simplify right side
    761.89x = 506,783.57
  5. Step 5: Solve for x
    x = 506,783.57/761.89
  6. Step 6: Final answer
    x = 665.17

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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.