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Finding the Fourth Proportional to 502.74, 694.02 and 390.45

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Solution

The fourth proportional to 502.74, 694.02 and 390.45 is: 539.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.74 : 694.02 = 390.45 : x
  2. Step 2: Convert to fraction form
    502.74/694.02 = 390.45/x
  3. Step 3: Cross multiply
    502.74x = 694.02 × 390.45
  4. Step 4: Simplify right side
    502.74x = 270,980.11
  5. Step 5: Solve for x
    x = 270,980.11/502.74
  6. Step 6: Final answer
    x = 539.01

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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.