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Finding the Fourth Proportional to 634.77, 951.57 and 269.35

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Solution

The fourth proportional to 634.77, 951.57 and 269.35 is: 403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.77 : 951.57 = 269.35 : x
  2. Step 2: Convert to fraction form
    634.77/951.57 = 269.35/x
  3. Step 3: Cross multiply
    634.77x = 951.57 × 269.35
  4. Step 4: Simplify right side
    634.77x = 256,303.00
  5. Step 5: Solve for x
    x = 256,303.00/634.77
  6. Step 6: Final answer
    x = 403.77

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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.