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Finding the Fourth Proportional to 954.05, 1,431.75 and 563.81

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Solution

The fourth proportional to 954.05, 1,431.75 and 563.81 is: 846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.05 : 1,431.75 = 563.81 : x
  2. Step 2: Convert to fraction form
    954.05/1,431.75 = 563.81/x
  3. Step 3: Cross multiply
    954.05x = 1,431.75 × 563.81
  4. Step 4: Simplify right side
    954.05x = 807,234.97
  5. Step 5: Solve for x
    x = 807,234.97/954.05
  6. Step 6: Final answer
    x = 846.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.