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Finding the Fourth Proportional to 634.24, 874.88 and 556.80

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Solution

The fourth proportional to 634.24, 874.88 and 556.80 is: 768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.24 : 874.88 = 556.80 : x
  2. Step 2: Convert to fraction form
    634.24/874.88 = 556.80/x
  3. Step 3: Cross multiply
    634.24x = 874.88 × 556.80
  4. Step 4: Simplify right side
    634.24x = 487,133.18
  5. Step 5: Solve for x
    x = 487,133.18/634.24
  6. Step 6: Final answer
    x = 768.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.