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Finding the Fourth Proportional to 431.77, 647.76 and 123.64

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Solution

The fourth proportional to 431.77, 647.76 and 123.64 is: 185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.77 : 647.76 = 123.64 : x
  2. Step 2: Convert to fraction form
    431.77/647.76 = 123.64/x
  3. Step 3: Cross multiply
    431.77x = 647.76 × 123.64
  4. Step 4: Simplify right side
    431.77x = 80,091.53
  5. Step 5: Solve for x
    x = 80,091.53/431.77
  6. Step 6: Final answer
    x = 185.50

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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.