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Finding the Fourth Proportional to 644.48, 888 and 582.24

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Solution

The fourth proportional to 644.48, 888 and 582.24 is: 802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 888 = 582.24 : x
  2. Step 2: Convert to fraction form
    644.48/888 = 582.24/x
  3. Step 3: Cross multiply
    644.48x = 888 × 582.24
  4. Step 4: Simplify right side
    644.48x = 517,029.12
  5. Step 5: Solve for x
    x = 517,029.12/644.48
  6. Step 6: Final answer
    x = 802.24

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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.