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Finding the Fourth Proportional to 823.70, 1,155.10 and 823.70

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Solution

The fourth proportional to 823.70, 1,155.10 and 823.70 is: 1,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.70 : 1,155.10 = 823.70 : x
  2. Step 2: Convert to fraction form
    823.70/1,155.10 = 823.70/x
  3. Step 3: Cross multiply
    823.70x = 1,155.10 × 823.70
  4. Step 4: Simplify right side
    823.70x = 951,455.87
  5. Step 5: Solve for x
    x = 951,455.87/823.70
  6. Step 6: Final answer
    x = 1,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.