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Finding the Fourth Proportional to 830.80, 1,247.10 and 466.30

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Solution

The fourth proportional to 830.80, 1,247.10 and 466.30 is: 699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.80 : 1,247.10 = 466.30 : x
  2. Step 2: Convert to fraction form
    830.80/1,247.10 = 466.30/x
  3. Step 3: Cross multiply
    830.80x = 1,247.10 × 466.30
  4. Step 4: Simplify right side
    830.80x = 581,522.73
  5. Step 5: Solve for x
    x = 581,522.73/830.80
  6. Step 6: Final answer
    x = 699.96

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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.