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Finding the Fourth Proportional to 498.15, 746.94 and 395.13

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Solution

The fourth proportional to 498.15, 746.94 and 395.13 is: 592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 746.94 = 395.13 : x
  2. Step 2: Convert to fraction form
    498.15/746.94 = 395.13/x
  3. Step 3: Cross multiply
    498.15x = 746.94 × 395.13
  4. Step 4: Simplify right side
    498.15x = 295,138.40
  5. Step 5: Solve for x
    x = 295,138.40/498.15
  6. Step 6: Final answer
    x = 592.47

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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.