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Finding the Fourth Proportional to 1,018.57, 1,527.58 and 369.29

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Solution

The fourth proportional to 1,018.57, 1,527.58 and 369.29 is: 553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.57 : 1,527.58 = 369.29 : x
  2. Step 2: Convert to fraction form
    1,018.57/1,527.58 = 369.29/x
  3. Step 3: Cross multiply
    1,018.57x = 1,527.58 × 369.29
  4. Step 4: Simplify right side
    1,018.57x = 564,110.53
  5. Step 5: Solve for x
    x = 564,110.53/1,018.57
  6. Step 6: Final answer
    x = 553.83

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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.