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Finding the Fourth Proportional to 1,017.84, 1,526.06 and 324.27

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Solution

The fourth proportional to 1,017.84, 1,526.06 and 324.27 is: 486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.84 : 1,526.06 = 324.27 : x
  2. Step 2: Convert to fraction form
    1,017.84/1,526.06 = 324.27/x
  3. Step 3: Cross multiply
    1,017.84x = 1,526.06 × 324.27
  4. Step 4: Simplify right side
    1,017.84x = 494,853.85
  5. Step 5: Solve for x
    x = 494,853.85/1,017.84
  6. Step 6: Final answer
    x = 486.18

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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.