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Finding the Fourth Proportional to 779.76, 1,169.17 and 340.77

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Solution

The fourth proportional to 779.76, 1,169.17 and 340.77 is: 510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,169.17 = 340.77 : x
  2. Step 2: Convert to fraction form
    779.76/1,169.17 = 340.77/x
  3. Step 3: Cross multiply
    779.76x = 1,169.17 × 340.77
  4. Step 4: Simplify right side
    779.76x = 398,418.10
  5. Step 5: Solve for x
    x = 398,418.10/779.76
  6. Step 6: Final answer
    x = 510.95

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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.