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Finding the Fourth Proportional to 688.36, 949.58 and 432.80

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Solution

The fourth proportional to 688.36, 949.58 and 432.80 is: 597.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 949.58 = 432.80 : x
  2. Step 2: Convert to fraction form
    688.36/949.58 = 432.80/x
  3. Step 3: Cross multiply
    688.36x = 949.58 × 432.80
  4. Step 4: Simplify right side
    688.36x = 410,978.22
  5. Step 5: Solve for x
    x = 410,978.22/688.36
  6. Step 6: Final answer
    x = 597.04

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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.