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Finding the Fourth Proportional to 1,008.80, 1,513.41 and 359.96

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Solution

The fourth proportional to 1,008.80, 1,513.41 and 359.96 is: 540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.80 : 1,513.41 = 359.96 : x
  2. Step 2: Convert to fraction form
    1,008.80/1,513.41 = 359.96/x
  3. Step 3: Cross multiply
    1,008.80x = 1,513.41 × 359.96
  4. Step 4: Simplify right side
    1,008.80x = 544,767.06
  5. Step 5: Solve for x
    x = 544,767.06/1,008.80
  6. Step 6: Final answer
    x = 540.01

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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.