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Finding the Fourth Proportional to 622.26, 937.08 and 542.06

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Solution

The fourth proportional to 622.26, 937.08 and 542.06 is: 816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.26 : 937.08 = 542.06 : x
  2. Step 2: Convert to fraction form
    622.26/937.08 = 542.06/x
  3. Step 3: Cross multiply
    622.26x = 937.08 × 542.06
  4. Step 4: Simplify right side
    622.26x = 507,953.58
  5. Step 5: Solve for x
    x = 507,953.58/622.26
  6. Step 6: Final answer
    x = 816.30

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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.