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Finding the Fourth Proportional to 946.91, 1,412.01 and 881.16

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Solution

The fourth proportional to 946.91, 1,412.01 and 881.16 is: 1,313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.91 : 1,412.01 = 881.16 : x
  2. Step 2: Convert to fraction form
    946.91/1,412.01 = 881.16/x
  3. Step 3: Cross multiply
    946.91x = 1,412.01 × 881.16
  4. Step 4: Simplify right side
    946.91x = 1,244,202.33
  5. Step 5: Solve for x
    x = 1,244,202.33/946.91
  6. Step 6: Final answer
    x = 1,313.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.