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Finding the Fourth Proportional to 1,065.04, 1,594.19 and 771.55

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Solution

The fourth proportional to 1,065.04, 1,594.19 and 771.55 is: 1,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.04 : 1,594.19 = 771.55 : x
  2. Step 2: Convert to fraction form
    1,065.04/1,594.19 = 771.55/x
  3. Step 3: Cross multiply
    1,065.04x = 1,594.19 × 771.55
  4. Step 4: Simplify right side
    1,065.04x = 1,229,993.44
  5. Step 5: Solve for x
    x = 1,229,993.44/1,065.04
  6. Step 6: Final answer
    x = 1,154.88

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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.