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Finding the Fourth Proportional to 1,087.97, 1,631.36 and 429.32

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Solution

The fourth proportional to 1,087.97, 1,631.36 and 429.32 is: 643.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.97 : 1,631.36 = 429.32 : x
  2. Step 2: Convert to fraction form
    1,087.97/1,631.36 = 429.32/x
  3. Step 3: Cross multiply
    1,087.97x = 1,631.36 × 429.32
  4. Step 4: Simplify right side
    1,087.97x = 700,380.63
  5. Step 5: Solve for x
    x = 700,380.63/1,087.97
  6. Step 6: Final answer
    x = 643.75

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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.