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Finding the Fourth Proportional to 498.07, 746.72 and 315.08

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Solution

The fourth proportional to 498.07, 746.72 and 315.08 is: 472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 746.72 = 315.08 : x
  2. Step 2: Convert to fraction form
    498.07/746.72 = 315.08/x
  3. Step 3: Cross multiply
    498.07x = 746.72 × 315.08
  4. Step 4: Simplify right side
    498.07x = 235,274.96
  5. Step 5: Solve for x
    x = 235,274.96/498.07
  6. Step 6: Final answer
    x = 472.37

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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.