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Finding the Fourth Proportional to 757.87, 1,134.36 and 647.98

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Solution

The fourth proportional to 757.87, 1,134.36 and 647.98 is: 969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.87 : 1,134.36 = 647.98 : x
  2. Step 2: Convert to fraction form
    757.87/1,134.36 = 647.98/x
  3. Step 3: Cross multiply
    757.87x = 1,134.36 × 647.98
  4. Step 4: Simplify right side
    757.87x = 735,039.76
  5. Step 5: Solve for x
    x = 735,039.76/757.87
  6. Step 6: Final answer
    x = 969.88

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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.