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Finding the Fourth Proportional to 1,087.58, 1,631.58 and 438.32

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Solution

The fourth proportional to 1,087.58, 1,631.58 and 438.32 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.58 : 1,631.58 = 438.32 : x
  2. Step 2: Convert to fraction form
    1,087.58/1,631.58 = 438.32/x
  3. Step 3: Cross multiply
    1,087.58x = 1,631.58 × 438.32
  4. Step 4: Simplify right side
    1,087.58x = 715,154.15
  5. Step 5: Solve for x
    x = 715,154.15/1,087.58
  6. Step 6: Final answer
    x = 657.56

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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.