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Finding the Fourth Proportional to 578.87, 798.85 and 343.00

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Solution

The fourth proportional to 578.87, 798.85 and 343.00 is: 473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.87 : 798.85 = 343.00 : x
  2. Step 2: Convert to fraction form
    578.87/798.85 = 343.00/x
  3. Step 3: Cross multiply
    578.87x = 798.85 × 343.00
  4. Step 4: Simplify right side
    578.87x = 274,006.74
  5. Step 5: Solve for x
    x = 274,006.74/578.87
  6. Step 6: Final answer
    x = 473.35

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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.