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Finding the Fourth Proportional to 502.13, 693.15 and 305.71

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Solution

The fourth proportional to 502.13, 693.15 and 305.71 is: 422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 693.15 = 305.71 : x
  2. Step 2: Convert to fraction form
    502.13/693.15 = 305.71/x
  3. Step 3: Cross multiply
    502.13x = 693.15 × 305.71
  4. Step 4: Simplify right side
    502.13x = 211,902.89
  5. Step 5: Solve for x
    x = 211,902.89/502.13
  6. Step 6: Final answer
    x = 422.01

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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.