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Finding the Fourth Proportional to 1,017.39, 1,525.17 and 367.97

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Solution

The fourth proportional to 1,017.39, 1,525.17 and 367.97 is: 551.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.39 : 1,525.17 = 367.97 : x
  2. Step 2: Convert to fraction form
    1,017.39/1,525.17 = 367.97/x
  3. Step 3: Cross multiply
    1,017.39x = 1,525.17 × 367.97
  4. Step 4: Simplify right side
    1,017.39x = 561,212.26
  5. Step 5: Solve for x
    x = 561,212.26/1,017.39
  6. Step 6: Final answer
    x = 551.62

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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.