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Finding the Fourth Proportional to 1,018.34, 1,526.94 and 324.89

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Solution

The fourth proportional to 1,018.34, 1,526.94 and 324.89 is: 487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.34 : 1,526.94 = 324.89 : x
  2. Step 2: Convert to fraction form
    1,018.34/1,526.94 = 324.89/x
  3. Step 3: Cross multiply
    1,018.34x = 1,526.94 × 324.89
  4. Step 4: Simplify right side
    1,018.34x = 496,079.90
  5. Step 5: Solve for x
    x = 496,079.90/1,018.34
  6. Step 6: Final answer
    x = 487.15

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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.