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Finding the Fourth Proportional to 498.44, 746.70 and 457.64

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Solution

The fourth proportional to 498.44, 746.70 and 457.64 is: 685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 746.70 = 457.64 : x
  2. Step 2: Convert to fraction form
    498.44/746.70 = 457.64/x
  3. Step 3: Cross multiply
    498.44x = 746.70 × 457.64
  4. Step 4: Simplify right side
    498.44x = 341,719.79
  5. Step 5: Solve for x
    x = 341,719.79/498.44
  6. Step 6: Final answer
    x = 685.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.