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Finding the Fourth Proportional to 521.06, 718.88 and 299.93

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Solution

The fourth proportional to 521.06, 718.88 and 299.93 is: 413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.06 : 718.88 = 299.93 : x
  2. Step 2: Convert to fraction form
    521.06/718.88 = 299.93/x
  3. Step 3: Cross multiply
    521.06x = 718.88 × 299.93
  4. Step 4: Simplify right side
    521.06x = 215,608.58
  5. Step 5: Solve for x
    x = 215,608.58/521.06
  6. Step 6: Final answer
    x = 413.79

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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.