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Finding the Fourth Proportional to 517.02, 769.21 and 496.97

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Solution

The fourth proportional to 517.02, 769.21 and 496.97 is: 739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 769.21 = 496.97 : x
  2. Step 2: Convert to fraction form
    517.02/769.21 = 496.97/x
  3. Step 3: Cross multiply
    517.02x = 769.21 × 496.97
  4. Step 4: Simplify right side
    517.02x = 382,276.03
  5. Step 5: Solve for x
    x = 382,276.03/517.02
  6. Step 6: Final answer
    x = 739.38

Related Problems

Find fourth proportional to 258.51, 384.60 and 248.49
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.