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Finding the Fourth Proportional to 511.98, 763.64 and 496.60

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Solution

The fourth proportional to 511.98, 763.64 and 496.60 is: 740.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.98 : 763.64 = 496.60 : x
  2. Step 2: Convert to fraction form
    511.98/763.64 = 496.60/x
  3. Step 3: Cross multiply
    511.98x = 763.64 × 496.60
  4. Step 4: Simplify right side
    511.98x = 379,223.62
  5. Step 5: Solve for x
    x = 379,223.62/511.98
  6. Step 6: Final answer
    x = 740.70

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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.