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Finding the Fourth Proportional to 582.02, 799.78 and 465.38

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Solution

The fourth proportional to 582.02, 799.78 and 465.38 is: 639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 799.78 = 465.38 : x
  2. Step 2: Convert to fraction form
    582.02/799.78 = 465.38/x
  3. Step 3: Cross multiply
    582.02x = 799.78 × 465.38
  4. Step 4: Simplify right side
    582.02x = 372,201.62
  5. Step 5: Solve for x
    x = 372,201.62/582.02
  6. Step 6: Final answer
    x = 639.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.