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Finding the Fourth Proportional to 943.10, 1,299.72 and 848.86

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Solution

The fourth proportional to 943.10, 1,299.72 and 848.86 is: 1,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.10 : 1,299.72 = 848.86 : x
  2. Step 2: Convert to fraction form
    943.10/1,299.72 = 848.86/x
  3. Step 3: Cross multiply
    943.10x = 1,299.72 × 848.86
  4. Step 4: Simplify right side
    943.10x = 1,103,280.32
  5. Step 5: Solve for x
    x = 1,103,280.32/943.10
  6. Step 6: Final answer
    x = 1,169.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.