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Finding the Fourth Proportional to 720.04, 992.36 and 523.21

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Solution

The fourth proportional to 720.04, 992.36 and 523.21 is: 721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.04 : 992.36 = 523.21 : x
  2. Step 2: Convert to fraction form
    720.04/992.36 = 523.21/x
  3. Step 3: Cross multiply
    720.04x = 992.36 × 523.21
  4. Step 4: Simplify right side
    720.04x = 519,205.10
  5. Step 5: Solve for x
    x = 519,205.10/720.04
  6. Step 6: Final answer
    x = 721.08

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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.