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Finding the Fourth Proportional to 908.64, 1,361.98 and 651.36

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Solution

The fourth proportional to 908.64, 1,361.98 and 651.36 is: 976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.64 : 1,361.98 = 651.36 : x
  2. Step 2: Convert to fraction form
    908.64/1,361.98 = 651.36/x
  3. Step 3: Cross multiply
    908.64x = 1,361.98 × 651.36
  4. Step 4: Simplify right side
    908.64x = 887,139.29
  5. Step 5: Solve for x
    x = 887,139.29/908.64
  6. Step 6: Final answer
    x = 976.34

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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.