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Finding the Fourth Proportional to 498.34, 746.70 and 417.34

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Solution

The fourth proportional to 498.34, 746.70 and 417.34 is: 625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 746.70 = 417.34 : x
  2. Step 2: Convert to fraction form
    498.34/746.70 = 417.34/x
  3. Step 3: Cross multiply
    498.34x = 746.70 × 417.34
  4. Step 4: Simplify right side
    498.34x = 311,627.78
  5. Step 5: Solve for x
    x = 311,627.78/498.34
  6. Step 6: Final answer
    x = 625.33

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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.