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Finding the Fourth Proportional to 954.36, 1,431.46 and 648.18

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Solution

The fourth proportional to 954.36, 1,431.46 and 648.18 is: 972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.36 : 1,431.46 = 648.18 : x
  2. Step 2: Convert to fraction form
    954.36/1,431.46 = 648.18/x
  3. Step 3: Cross multiply
    954.36x = 1,431.46 × 648.18
  4. Step 4: Simplify right side
    954.36x = 927,843.74
  5. Step 5: Solve for x
    x = 927,843.74/954.36
  6. Step 6: Final answer
    x = 972.22

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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.