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Finding the Fourth Proportional to 1,487.58, 2,231.60 and 392.03

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Solution

The fourth proportional to 1,487.58, 2,231.60 and 392.03 is: 588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.58 : 2,231.60 = 392.03 : x
  2. Step 2: Convert to fraction form
    1,487.58/2,231.60 = 392.03/x
  3. Step 3: Cross multiply
    1,487.58x = 2,231.60 × 392.03
  4. Step 4: Simplify right side
    1,487.58x = 874,857.88
  5. Step 5: Solve for x
    x = 874,857.88/1,487.58
  6. Step 6: Final answer
    x = 588.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.