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Finding the Fourth Proportional to 521.14, 719.04 and 300.04

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Solution

The fourth proportional to 521.14, 719.04 and 300.04 is: 413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.14 : 719.04 = 300.04 : x
  2. Step 2: Convert to fraction form
    521.14/719.04 = 300.04/x
  3. Step 3: Cross multiply
    521.14x = 719.04 × 300.04
  4. Step 4: Simplify right side
    521.14x = 215,740.76
  5. Step 5: Solve for x
    x = 215,740.76/521.14
  6. Step 6: Final answer
    x = 413.98

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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.