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Finding the Fourth Proportional to 431.98, 647.77 and 123.76

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Solution

The fourth proportional to 431.98, 647.77 and 123.76 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 647.77 = 123.76 : x
  2. Step 2: Convert to fraction form
    431.98/647.77 = 123.76/x
  3. Step 3: Cross multiply
    431.98x = 647.77 × 123.76
  4. Step 4: Simplify right side
    431.98x = 80,165.68
  5. Step 5: Solve for x
    x = 80,165.68/431.98
  6. Step 6: Final answer
    x = 185.58

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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.