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Finding the Fourth Proportional to 1,065.34, 1,594.23 and 790.75

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Solution

The fourth proportional to 1,065.34, 1,594.23 and 790.75 is: 1,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.34 : 1,594.23 = 790.75 : x
  2. Step 2: Convert to fraction form
    1,065.34/1,594.23 = 790.75/x
  3. Step 3: Cross multiply
    1,065.34x = 1,594.23 × 790.75
  4. Step 4: Simplify right side
    1,065.34x = 1,260,637.37
  5. Step 5: Solve for x
    x = 1,260,637.37/1,065.34
  6. Step 6: Final answer
    x = 1,183.32

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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.