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Finding the Fourth Proportional to 1,017.50, 1,526.18 and 324.20

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Solution

The fourth proportional to 1,017.50, 1,526.18 and 324.20 is: 486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.50 : 1,526.18 = 324.20 : x
  2. Step 2: Convert to fraction form
    1,017.50/1,526.18 = 324.20/x
  3. Step 3: Cross multiply
    1,017.50x = 1,526.18 × 324.20
  4. Step 4: Simplify right side
    1,017.50x = 494,787.56
  5. Step 5: Solve for x
    x = 494,787.56/1,017.50
  6. Step 6: Final answer
    x = 486.28

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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.