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Finding the Fourth Proportional to 506.27, 696.78 and 358.65

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Solution

The fourth proportional to 506.27, 696.78 and 358.65 is: 493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.27 : 696.78 = 358.65 : x
  2. Step 2: Convert to fraction form
    506.27/696.78 = 358.65/x
  3. Step 3: Cross multiply
    506.27x = 696.78 × 358.65
  4. Step 4: Simplify right side
    506.27x = 249,900.15
  5. Step 5: Solve for x
    x = 249,900.15/506.27
  6. Step 6: Final answer
    x = 493.62

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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.