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Finding the Fourth Proportional to 952.76, 1,310.82 and 840.21

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Solution

The fourth proportional to 952.76, 1,310.82 and 840.21 is: 1,155.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.76 : 1,310.82 = 840.21 : x
  2. Step 2: Convert to fraction form
    952.76/1,310.82 = 840.21/x
  3. Step 3: Cross multiply
    952.76x = 1,310.82 × 840.21
  4. Step 4: Simplify right side
    952.76x = 1,101,364.07
  5. Step 5: Solve for x
    x = 1,101,364.07/952.76
  6. Step 6: Final answer
    x = 1,155.97

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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.