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Finding the Fourth Proportional to 436.82, 657.82 and 315.93

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Solution

The fourth proportional to 436.82, 657.82 and 315.93 is: 475.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.82 : 657.82 = 315.93 : x
  2. Step 2: Convert to fraction form
    436.82/657.82 = 315.93/x
  3. Step 3: Cross multiply
    436.82x = 657.82 × 315.93
  4. Step 4: Simplify right side
    436.82x = 207,823.49
  5. Step 5: Solve for x
    x = 207,823.49/436.82
  6. Step 6: Final answer
    x = 475.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.