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Finding the Fourth Proportional to 830.62, 1,243.59 and 766.02

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Solution

The fourth proportional to 830.62, 1,243.59 and 766.02 is: 1,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.62 : 1,243.59 = 766.02 : x
  2. Step 2: Convert to fraction form
    830.62/1,243.59 = 766.02/x
  3. Step 3: Cross multiply
    830.62x = 1,243.59 × 766.02
  4. Step 4: Simplify right side
    830.62x = 952,616.60
  5. Step 5: Solve for x
    x = 952,616.60/830.62
  6. Step 6: Final answer
    x = 1,146.87

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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.