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Finding the Fourth Proportional to 520.60, 717.54 and 371.23

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Solution

The fourth proportional to 520.60, 717.54 and 371.23 is: 511.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 717.54 = 371.23 : x
  2. Step 2: Convert to fraction form
    520.60/717.54 = 371.23/x
  3. Step 3: Cross multiply
    520.60x = 717.54 × 371.23
  4. Step 4: Simplify right side
    520.60x = 266,372.37
  5. Step 5: Solve for x
    x = 266,372.37/520.60
  6. Step 6: Final answer
    x = 511.66

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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.