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Finding the Fourth Proportional to 720.40, 992.79 and 578.44

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Solution

The fourth proportional to 720.40, 992.79 and 578.44 is: 797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.40 : 992.79 = 578.44 : x
  2. Step 2: Convert to fraction form
    720.40/992.79 = 578.44/x
  3. Step 3: Cross multiply
    720.40x = 992.79 × 578.44
  4. Step 4: Simplify right side
    720.40x = 574,269.45
  5. Step 5: Solve for x
    x = 574,269.45/720.40
  6. Step 6: Final answer
    x = 797.15

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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.