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Finding the Fourth Proportional to 685.17, 946.79 and 519.10

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Solution

The fourth proportional to 685.17, 946.79 and 519.10 is: 717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.17 : 946.79 = 519.10 : x
  2. Step 2: Convert to fraction form
    685.17/946.79 = 519.10/x
  3. Step 3: Cross multiply
    685.17x = 946.79 × 519.10
  4. Step 4: Simplify right side
    685.17x = 491,478.69
  5. Step 5: Solve for x
    x = 491,478.69/685.17
  6. Step 6: Final answer
    x = 717.31

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1.5x scale

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.