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Finding the Fourth Proportional to 688.40, 1,033.12 and 552.64

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Solution

The fourth proportional to 688.40, 1,033.12 and 552.64 is: 829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.40 : 1,033.12 = 552.64 : x
  2. Step 2: Convert to fraction form
    688.40/1,033.12 = 552.64/x
  3. Step 3: Cross multiply
    688.40x = 1,033.12 × 552.64
  4. Step 4: Simplify right side
    688.40x = 570,943.44
  5. Step 5: Solve for x
    x = 570,943.44/688.40
  6. Step 6: Final answer
    x = 829.38

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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.