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Finding the Fourth Proportional to 1,325.69, 1,988.46 and 401.24

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Solution

The fourth proportional to 1,325.69, 1,988.46 and 401.24 is: 601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.69 : 1,988.46 = 401.24 : x
  2. Step 2: Convert to fraction form
    1,325.69/1,988.46 = 401.24/x
  3. Step 3: Cross multiply
    1,325.69x = 1,988.46 × 401.24
  4. Step 4: Simplify right side
    1,325.69x = 797,849.69
  5. Step 5: Solve for x
    x = 797,849.69/1,325.69
  6. Step 6: Final answer
    x = 601.84

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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.