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Finding the Fourth Proportional to 830.01, 1,234.84 and 780.80

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Solution

The fourth proportional to 830.01, 1,234.84 and 780.80 is: 1,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.01 : 1,234.84 = 780.80 : x
  2. Step 2: Convert to fraction form
    830.01/1,234.84 = 780.80/x
  3. Step 3: Cross multiply
    830.01x = 1,234.84 × 780.80
  4. Step 4: Simplify right side
    830.01x = 964,163.07
  5. Step 5: Solve for x
    x = 964,163.07/830.01
  6. Step 6: Final answer
    x = 1,161.63

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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.