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Finding the Fourth Proportional to 954.24, 1,314.24 and 806.40

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Solution

The fourth proportional to 954.24, 1,314.24 and 806.40 is: 1,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.24 : 1,314.24 = 806.40 : x
  2. Step 2: Convert to fraction form
    954.24/1,314.24 = 806.40/x
  3. Step 3: Cross multiply
    954.24x = 1,314.24 × 806.40
  4. Step 4: Simplify right side
    954.24x = 1,059,803.14
  5. Step 5: Solve for x
    x = 1,059,803.14/954.24
  6. Step 6: Final answer
    x = 1,110.63

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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.