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Finding the Fourth Proportional to 1,009.38, 1,513.86 and 360

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Solution

The fourth proportional to 1,009.38, 1,513.86 and 360 is: 539.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.38 : 1,513.86 = 360 : x
  2. Step 2: Convert to fraction form
    1,009.38/1,513.86 = 360/x
  3. Step 3: Cross multiply
    1,009.38x = 1,513.86 × 360
  4. Step 4: Simplify right side
    1,009.38x = 544,989.60
  5. Step 5: Solve for x
    x = 544,989.60/1,009.38
  6. Step 6: Final answer
    x = 539.93

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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.