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Finding the Fourth Proportional to 761.96, 1,137.42 and 669.69

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Solution

The fourth proportional to 761.96, 1,137.42 and 669.69 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.96 : 1,137.42 = 669.69 : x
  2. Step 2: Convert to fraction form
    761.96/1,137.42 = 669.69/x
  3. Step 3: Cross multiply
    761.96x = 1,137.42 × 669.69
  4. Step 4: Simplify right side
    761.96x = 761,718.80
  5. Step 5: Solve for x
    x = 761,718.80/761.96
  6. Step 6: Final answer
    x = 999.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.