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Finding the Fourth Proportional to 578.24, 798.20 and 357.40

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Solution

The fourth proportional to 578.24, 798.20 and 357.40 is: 493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.24 : 798.20 = 357.40 : x
  2. Step 2: Convert to fraction form
    578.24/798.20 = 357.40/x
  3. Step 3: Cross multiply
    578.24x = 798.20 × 357.40
  4. Step 4: Simplify right side
    578.24x = 285,276.68
  5. Step 5: Solve for x
    x = 285,276.68/578.24
  6. Step 6: Final answer
    x = 493.35

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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.