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Finding the Fourth Proportional to 578.88, 798.85 and 316.90

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Solution

The fourth proportional to 578.88, 798.85 and 316.90 is: 437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 798.85 = 316.90 : x
  2. Step 2: Convert to fraction form
    578.88/798.85 = 316.90/x
  3. Step 3: Cross multiply
    578.88x = 798.85 × 316.90
  4. Step 4: Simplify right side
    578.88x = 253,151.57
  5. Step 5: Solve for x
    x = 253,151.57/578.88
  6. Step 6: Final answer
    x = 437.32

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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.