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Finding the Fourth Proportional to 954.11, 1,316.72 and 581.11

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Solution

The fourth proportional to 954.11, 1,316.72 and 581.11 is: 801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.11 : 1,316.72 = 581.11 : x
  2. Step 2: Convert to fraction form
    954.11/1,316.72 = 581.11/x
  3. Step 3: Cross multiply
    954.11x = 1,316.72 × 581.11
  4. Step 4: Simplify right side
    954.11x = 765,157.32
  5. Step 5: Solve for x
    x = 765,157.32/954.11
  6. Step 6: Final answer
    x = 801.96

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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.