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Finding the Fourth Proportional to 505.34, 754.61 and 499.98

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Solution

The fourth proportional to 505.34, 754.61 and 499.98 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.34 : 754.61 = 499.98 : x
  2. Step 2: Convert to fraction form
    505.34/754.61 = 499.98/x
  3. Step 3: Cross multiply
    505.34x = 754.61 × 499.98
  4. Step 4: Simplify right side
    505.34x = 377,287.41
  5. Step 5: Solve for x
    x = 377,287.41/505.34
  6. Step 6: Final answer
    x = 746.60

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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.