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Finding the Fourth Proportional to 578.34, 797.51 and 420.66

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Solution

The fourth proportional to 578.34, 797.51 and 420.66 is: 580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.34 : 797.51 = 420.66 : x
  2. Step 2: Convert to fraction form
    578.34/797.51 = 420.66/x
  3. Step 3: Cross multiply
    578.34x = 797.51 × 420.66
  4. Step 4: Simplify right side
    578.34x = 335,481.61
  5. Step 5: Solve for x
    x = 335,481.61/578.34
  6. Step 6: Final answer
    x = 580.08

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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.