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Finding the Fourth Proportional to 779.34, 1,074.23 and 678.14

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Solution

The fourth proportional to 779.34, 1,074.23 and 678.14 is: 934.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.34 : 1,074.23 = 678.14 : x
  2. Step 2: Convert to fraction form
    779.34/1,074.23 = 678.14/x
  3. Step 3: Cross multiply
    779.34x = 1,074.23 × 678.14
  4. Step 4: Simplify right side
    779.34x = 728,474.94
  5. Step 5: Solve for x
    x = 728,474.94/779.34
  6. Step 6: Final answer
    x = 934.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.