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Finding the Fourth Proportional to 582.37, 802.21 and 498.07

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Solution

The fourth proportional to 582.37, 802.21 and 498.07 is: 686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.37 : 802.21 = 498.07 : x
  2. Step 2: Convert to fraction form
    582.37/802.21 = 498.07/x
  3. Step 3: Cross multiply
    582.37x = 802.21 × 498.07
  4. Step 4: Simplify right side
    582.37x = 399,556.73
  5. Step 5: Solve for x
    x = 399,556.73/582.37
  6. Step 6: Final answer
    x = 686.09

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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.