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Finding the Fourth Proportional to 744.13, 1,115.28 and 539.40

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Solution

The fourth proportional to 744.13, 1,115.28 and 539.40 is: 808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.13 : 1,115.28 = 539.40 : x
  2. Step 2: Convert to fraction form
    744.13/1,115.28 = 539.40/x
  3. Step 3: Cross multiply
    744.13x = 1,115.28 × 539.40
  4. Step 4: Simplify right side
    744.13x = 601,582.03
  5. Step 5: Solve for x
    x = 601,582.03/744.13
  6. Step 6: Final answer
    x = 808.44

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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.