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Finding the Fourth Proportional to 1,009.05, 1,513.86 and 359.85

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Solution

The fourth proportional to 1,009.05, 1,513.86 and 359.85 is: 539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.05 : 1,513.86 = 359.85 : x
  2. Step 2: Convert to fraction form
    1,009.05/1,513.86 = 359.85/x
  3. Step 3: Cross multiply
    1,009.05x = 1,513.86 × 359.85
  4. Step 4: Simplify right side
    1,009.05x = 544,762.52
  5. Step 5: Solve for x
    x = 544,762.52/1,009.05
  6. Step 6: Final answer
    x = 539.88

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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.