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Finding the Fourth Proportional to 779.95, 1,170.06 and 311.50

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Solution

The fourth proportional to 779.95, 1,170.06 and 311.50 is: 467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.95 : 1,170.06 = 311.50 : x
  2. Step 2: Convert to fraction form
    779.95/1,170.06 = 311.50/x
  3. Step 3: Cross multiply
    779.95x = 1,170.06 × 311.50
  4. Step 4: Simplify right side
    779.95x = 364,473.69
  5. Step 5: Solve for x
    x = 364,473.69/779.95
  6. Step 6: Final answer
    x = 467.30

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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.