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Finding the Fourth Proportional to 622.58, 937.58 and 542.39

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Solution

The fourth proportional to 622.58, 937.58 and 542.39 is: 816.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.58 : 937.58 = 542.39 : x
  2. Step 2: Convert to fraction form
    622.58/937.58 = 542.39/x
  3. Step 3: Cross multiply
    622.58x = 937.58 × 542.39
  4. Step 4: Simplify right side
    622.58x = 508,536.36
  5. Step 5: Solve for x
    x = 508,536.36/622.58
  6. Step 6: Final answer
    x = 816.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.