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Finding the Fourth Proportional to 839.68, 1,166.77 and 830.68

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Solution

The fourth proportional to 839.68, 1,166.77 and 830.68 is: 1,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.68 : 1,166.77 = 830.68 : x
  2. Step 2: Convert to fraction form
    839.68/1,166.77 = 830.68/x
  3. Step 3: Cross multiply
    839.68x = 1,166.77 × 830.68
  4. Step 4: Simplify right side
    839.68x = 969,212.50
  5. Step 5: Solve for x
    x = 969,212.50/839.68
  6. Step 6: Final answer
    x = 1,154.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.