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Finding the Fourth Proportional to 688.10, 949.55 and 393.39

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Solution

The fourth proportional to 688.10, 949.55 and 393.39 is: 542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 949.55 = 393.39 : x
  2. Step 2: Convert to fraction form
    688.10/949.55 = 393.39/x
  3. Step 3: Cross multiply
    688.10x = 949.55 × 393.39
  4. Step 4: Simplify right side
    688.10x = 373,541.51
  5. Step 5: Solve for x
    x = 373,541.51/688.10
  6. Step 6: Final answer
    x = 542.86

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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.