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Finding the Fourth Proportional to 517.03, 709.23 and 506.23

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Solution

The fourth proportional to 517.03, 709.23 and 506.23 is: 694.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.03 : 709.23 = 506.23 : x
  2. Step 2: Convert to fraction form
    517.03/709.23 = 506.23/x
  3. Step 3: Cross multiply
    517.03x = 709.23 × 506.23
  4. Step 4: Simplify right side
    517.03x = 359,032.24
  5. Step 5: Solve for x
    x = 359,032.24/517.03
  6. Step 6: Final answer
    x = 694.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.