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Finding the Fourth Proportional to 578.10, 797.98 and 342.13

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Solution

The fourth proportional to 578.10, 797.98 and 342.13 is: 472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.10 : 797.98 = 342.13 : x
  2. Step 2: Convert to fraction form
    578.10/797.98 = 342.13/x
  3. Step 3: Cross multiply
    578.10x = 797.98 × 342.13
  4. Step 4: Simplify right side
    578.10x = 273,008.98
  5. Step 5: Solve for x
    x = 273,008.98/578.10
  6. Step 6: Final answer
    x = 472.26

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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.