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Finding the Fourth Proportional to 720.78, 992.46 and 544.02

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Solution

The fourth proportional to 720.78, 992.46 and 544.02 is: 749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.78 : 992.46 = 544.02 : x
  2. Step 2: Convert to fraction form
    720.78/992.46 = 544.02/x
  3. Step 3: Cross multiply
    720.78x = 992.46 × 544.02
  4. Step 4: Simplify right side
    720.78x = 539,918.09
  5. Step 5: Solve for x
    x = 539,918.09/720.78
  6. Step 6: Final answer
    x = 749.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.