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Finding the Fourth Proportional to 521.80, 720.02 and 300.74

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Solution

The fourth proportional to 521.80, 720.02 and 300.74 is: 414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.80 : 720.02 = 300.74 : x
  2. Step 2: Convert to fraction form
    521.80/720.02 = 300.74/x
  3. Step 3: Cross multiply
    521.80x = 720.02 × 300.74
  4. Step 4: Simplify right side
    521.80x = 216,538.81
  5. Step 5: Solve for x
    x = 216,538.81/521.80
  6. Step 6: Final answer
    x = 414.98

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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.