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Finding the Fourth Proportional to 952.11, 1,312.47 and 841.41

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Solution

The fourth proportional to 952.11, 1,312.47 and 841.41 is: 1,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.11 : 1,312.47 = 841.41 : x
  2. Step 2: Convert to fraction form
    952.11/1,312.47 = 841.41/x
  3. Step 3: Cross multiply
    952.11x = 1,312.47 × 841.41
  4. Step 4: Simplify right side
    952.11x = 1,104,325.38
  5. Step 5: Solve for x
    x = 1,104,325.38/952.11
  6. Step 6: Final answer
    x = 1,159.87

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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.