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Finding the Fourth Proportional to 578.98, 799.00 and 317.02

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Solution

The fourth proportional to 578.98, 799.00 and 317.02 is: 437.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.98 : 799.00 = 317.02 : x
  2. Step 2: Convert to fraction form
    578.98/799.00 = 317.02/x
  3. Step 3: Cross multiply
    578.98x = 799.00 × 317.02
  4. Step 4: Simplify right side
    578.98x = 253,293.40
  5. Step 5: Solve for x
    x = 253,293.40/578.98
  6. Step 6: Final answer
    x = 437.48

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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.