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Finding the Fourth Proportional to 582.88, 802.56 and 495.36

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Solution

The fourth proportional to 582.88, 802.56 and 495.36 is: 682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 802.56 = 495.36 : x
  2. Step 2: Convert to fraction form
    582.88/802.56 = 495.36/x
  3. Step 3: Cross multiply
    582.88x = 802.56 × 495.36
  4. Step 4: Simplify right side
    582.88x = 397,556.12
  5. Step 5: Solve for x
    x = 397,556.12/582.88
  6. Step 6: Final answer
    x = 682.05

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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.