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Finding the Fourth Proportional to 1,325.42, 1,987.91 and 351.54

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Solution

The fourth proportional to 1,325.42, 1,987.91 and 351.54 is: 527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.42 : 1,987.91 = 351.54 : x
  2. Step 2: Convert to fraction form
    1,325.42/1,987.91 = 351.54/x
  3. Step 3: Cross multiply
    1,325.42x = 1,987.91 × 351.54
  4. Step 4: Simplify right side
    1,325.42x = 698,829.88
  5. Step 5: Solve for x
    x = 698,829.88/1,325.42
  6. Step 6: Final answer
    x = 527.25

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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.