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Finding the Fourth Proportional to 517.02, 713.49 and 307.23

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Solution

The fourth proportional to 517.02, 713.49 and 307.23 is: 423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 713.49 = 307.23 : x
  2. Step 2: Convert to fraction form
    517.02/713.49 = 307.23/x
  3. Step 3: Cross multiply
    517.02x = 713.49 × 307.23
  4. Step 4: Simplify right side
    517.02x = 219,205.53
  5. Step 5: Solve for x
    x = 219,205.53/517.02
  6. Step 6: Final answer
    x = 423.98

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Similar ratio
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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.