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Finding the Fourth Proportional to 688.88, 947.14 and 613.48

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Solution

The fourth proportional to 688.88, 947.14 and 613.48 is: 843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.88 : 947.14 = 613.48 : x
  2. Step 2: Convert to fraction form
    688.88/947.14 = 613.48/x
  3. Step 3: Cross multiply
    688.88x = 947.14 × 613.48
  4. Step 4: Simplify right side
    688.88x = 581,051.45
  5. Step 5: Solve for x
    x = 581,051.45/688.88
  6. Step 6: Final answer
    x = 843.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.