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Finding the Fourth Proportional to 436.73, 657.45 and 392.06

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Solution

The fourth proportional to 436.73, 657.45 and 392.06 is: 590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.73 : 657.45 = 392.06 : x
  2. Step 2: Convert to fraction form
    436.73/657.45 = 392.06/x
  3. Step 3: Cross multiply
    436.73x = 657.45 × 392.06
  4. Step 4: Simplify right side
    436.73x = 257,761.49
  5. Step 5: Solve for x
    x = 257,761.49/436.73
  6. Step 6: Final answer
    x = 590.21

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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.