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Finding the Fourth Proportional to 506.71, 754.58 and 475.57

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Solution

The fourth proportional to 506.71, 754.58 and 475.57 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 754.58 = 475.57 : x
  2. Step 2: Convert to fraction form
    506.71/754.58 = 475.57/x
  3. Step 3: Cross multiply
    506.71x = 754.58 × 475.57
  4. Step 4: Simplify right side
    506.71x = 358,855.61
  5. Step 5: Solve for x
    x = 358,855.61/506.71
  6. Step 6: Final answer
    x = 708.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.