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Finding the Fourth Proportional to 830.85, 1,239.84 and 738.83

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Solution

The fourth proportional to 830.85, 1,239.84 and 738.83 is: 1,102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.85 : 1,239.84 = 738.83 : x
  2. Step 2: Convert to fraction form
    830.85/1,239.84 = 738.83/x
  3. Step 3: Cross multiply
    830.85x = 1,239.84 × 738.83
  4. Step 4: Simplify right side
    830.85x = 916,024.79
  5. Step 5: Solve for x
    x = 916,024.79/830.85
  6. Step 6: Final answer
    x = 1,102.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.