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Finding the Fourth Proportional to 766.03, 1,146.80 and 693.07

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Solution

The fourth proportional to 766.03, 1,146.80 and 693.07 is: 1,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.03 : 1,146.80 = 693.07 : x
  2. Step 2: Convert to fraction form
    766.03/1,146.80 = 693.07/x
  3. Step 3: Cross multiply
    766.03x = 1,146.80 × 693.07
  4. Step 4: Simplify right side
    766.03x = 794,812.68
  5. Step 5: Solve for x
    x = 794,812.68/766.03
  6. Step 6: Final answer
    x = 1,037.57

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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.