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Finding the Fourth Proportional to 1,291.05, 1,937.52 and 469.39

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Solution

The fourth proportional to 1,291.05, 1,937.52 and 469.39 is: 704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.05 : 1,937.52 = 469.39 : x
  2. Step 2: Convert to fraction form
    1,291.05/1,937.52 = 469.39/x
  3. Step 3: Cross multiply
    1,291.05x = 1,937.52 × 469.39
  4. Step 4: Simplify right side
    1,291.05x = 909,452.51
  5. Step 5: Solve for x
    x = 909,452.51/1,291.05
  6. Step 6: Final answer
    x = 704.43

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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.