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Finding the Fourth Proportional to 436.32, 657.06 and 315.43

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Solution

The fourth proportional to 436.32, 657.06 and 315.43 is: 475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.32 : 657.06 = 315.43 : x
  2. Step 2: Convert to fraction form
    436.32/657.06 = 315.43/x
  3. Step 3: Cross multiply
    436.32x = 657.06 × 315.43
  4. Step 4: Simplify right side
    436.32x = 207,255.38
  5. Step 5: Solve for x
    x = 207,255.38/436.32
  6. Step 6: Final answer
    x = 475.01

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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.