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Finding the Fourth Proportional to 517.45, 713.80 and 307.42

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Solution

The fourth proportional to 517.45, 713.80 and 307.42 is: 424.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.45 : 713.80 = 307.42 : x
  2. Step 2: Convert to fraction form
    517.45/713.80 = 307.42/x
  3. Step 3: Cross multiply
    517.45x = 713.80 × 307.42
  4. Step 4: Simplify right side
    517.45x = 219,436.40
  5. Step 5: Solve for x
    x = 219,436.40/517.45
  6. Step 6: Final answer
    x = 424.07

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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.