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Finding the Fourth Proportional to 1,018.20, 1,527.47 and 369.10

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Solution

The fourth proportional to 1,018.20, 1,527.47 and 369.10 is: 553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.20 : 1,527.47 = 369.10 : x
  2. Step 2: Convert to fraction form
    1,018.20/1,527.47 = 369.10/x
  3. Step 3: Cross multiply
    1,018.20x = 1,527.47 × 369.10
  4. Step 4: Simplify right side
    1,018.20x = 563,789.18
  5. Step 5: Solve for x
    x = 563,789.18/1,018.20
  6. Step 6: Final answer
    x = 553.71

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1.5x scale

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.