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Finding the Fourth Proportional to 578.23, 797.54 and 368.20

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Solution

The fourth proportional to 578.23, 797.54 and 368.20 is: 507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.23 : 797.54 = 368.20 : x
  2. Step 2: Convert to fraction form
    578.23/797.54 = 368.20/x
  3. Step 3: Cross multiply
    578.23x = 797.54 × 368.20
  4. Step 4: Simplify right side
    578.23x = 293,654.23
  5. Step 5: Solve for x
    x = 293,654.23/578.23
  6. Step 6: Final answer
    x = 507.85

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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.