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Finding the Fourth Proportional to 501.59, 691.84 and 333.62

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Solution

The fourth proportional to 501.59, 691.84 and 333.62 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.59 : 691.84 = 333.62 : x
  2. Step 2: Convert to fraction form
    501.59/691.84 = 333.62/x
  3. Step 3: Cross multiply
    501.59x = 691.84 × 333.62
  4. Step 4: Simplify right side
    501.59x = 230,811.21
  5. Step 5: Solve for x
    x = 230,811.21/501.59
  6. Step 6: Final answer
    x = 460.16

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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.