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Finding the Fourth Proportional to 762.96, 1,143.21 and 690.06

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Solution

The fourth proportional to 762.96, 1,143.21 and 690.06 is: 1,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.96 : 1,143.21 = 690.06 : x
  2. Step 2: Convert to fraction form
    762.96/1,143.21 = 690.06/x
  3. Step 3: Cross multiply
    762.96x = 1,143.21 × 690.06
  4. Step 4: Simplify right side
    762.96x = 788,883.49
  5. Step 5: Solve for x
    x = 788,883.49/762.96
  6. Step 6: Final answer
    x = 1,033.98

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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.