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Finding the Fourth Proportional to 582.88, 800.56 and 484.48

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Solution

The fourth proportional to 582.88, 800.56 and 484.48 is: 665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 800.56 = 484.48 : x
  2. Step 2: Convert to fraction form
    582.88/800.56 = 484.48/x
  3. Step 3: Cross multiply
    582.88x = 800.56 × 484.48
  4. Step 4: Simplify right side
    582.88x = 387,855.31
  5. Step 5: Solve for x
    x = 387,855.31/582.88
  6. Step 6: Final answer
    x = 665.41

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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.