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Finding the Fourth Proportional to 720.24, 993.91 and 405.53

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Solution

The fourth proportional to 720.24, 993.91 and 405.53 is: 559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.24 : 993.91 = 405.53 : x
  2. Step 2: Convert to fraction form
    720.24/993.91 = 405.53/x
  3. Step 3: Cross multiply
    720.24x = 993.91 × 405.53
  4. Step 4: Simplify right side
    720.24x = 403,060.32
  5. Step 5: Solve for x
    x = 403,060.32/720.24
  6. Step 6: Final answer
    x = 559.62

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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.