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Finding the Fourth Proportional to 1,013.37, 1,520.06 and 243.87

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Solution

The fourth proportional to 1,013.37, 1,520.06 and 243.87 is: 365.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.37 : 1,520.06 = 243.87 : x
  2. Step 2: Convert to fraction form
    1,013.37/1,520.06 = 243.87/x
  3. Step 3: Cross multiply
    1,013.37x = 1,520.06 × 243.87
  4. Step 4: Simplify right side
    1,013.37x = 370,695.81
  5. Step 5: Solve for x
    x = 370,695.81/1,013.37
  6. Step 6: Final answer
    x = 365.81

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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.