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Finding the Fourth Proportional to 830.70, 1,105.56 and 830.70

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Solution

The fourth proportional to 830.70, 1,105.56 and 830.70 is: 1,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.70 : 1,105.56 = 830.70 : x
  2. Step 2: Convert to fraction form
    830.70/1,105.56 = 830.70/x
  3. Step 3: Cross multiply
    830.70x = 1,105.56 × 830.70
  4. Step 4: Simplify right side
    830.70x = 918,388.69
  5. Step 5: Solve for x
    x = 918,388.69/830.70
  6. Step 6: Final answer
    x = 1,105.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.