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Finding the Fourth Proportional to 688.36, 949.60 and 452.22

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Solution

The fourth proportional to 688.36, 949.60 and 452.22 is: 623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 949.60 = 452.22 : x
  2. Step 2: Convert to fraction form
    688.36/949.60 = 452.22/x
  3. Step 3: Cross multiply
    688.36x = 949.60 × 452.22
  4. Step 4: Simplify right side
    688.36x = 429,428.11
  5. Step 5: Solve for x
    x = 429,428.11/688.36
  6. Step 6: Final answer
    x = 623.84

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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.