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Finding the Fourth Proportional to 830.21, 1,244.63 and 691.02

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Solution

The fourth proportional to 830.21, 1,244.63 and 691.02 is: 1,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.21 : 1,244.63 = 691.02 : x
  2. Step 2: Convert to fraction form
    830.21/1,244.63 = 691.02/x
  3. Step 3: Cross multiply
    830.21x = 1,244.63 × 691.02
  4. Step 4: Simplify right side
    830.21x = 860,060.77
  5. Step 5: Solve for x
    x = 860,060.77/830.21
  6. Step 6: Final answer
    x = 1,035.96

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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.