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Finding the Fourth Proportional to 1,325.99, 1,987.49 and 632.09

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Solution

The fourth proportional to 1,325.99, 1,987.49 and 632.09 is: 947.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.99 : 1,987.49 = 632.09 : x
  2. Step 2: Convert to fraction form
    1,325.99/1,987.49 = 632.09/x
  3. Step 3: Cross multiply
    1,325.99x = 1,987.49 × 632.09
  4. Step 4: Simplify right side
    1,325.99x = 1,256,272.55
  5. Step 5: Solve for x
    x = 1,256,272.55/1,325.99
  6. Step 6: Final answer
    x = 947.42

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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.