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Finding the Fourth Proportional to 578.40, 799.03 and 500.64

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Solution

The fourth proportional to 578.40, 799.03 and 500.64 is: 691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 799.03 = 500.64 : x
  2. Step 2: Convert to fraction form
    578.40/799.03 = 500.64/x
  3. Step 3: Cross multiply
    578.40x = 799.03 × 500.64
  4. Step 4: Simplify right side
    578.40x = 400,026.38
  5. Step 5: Solve for x
    x = 400,026.38/578.40
  6. Step 6: Final answer
    x = 691.61

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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.