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Finding the Fourth Proportional to 582.05, 802.82 and 361.10

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Solution

The fourth proportional to 582.05, 802.82 and 361.10 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.05 : 802.82 = 361.10 : x
  2. Step 2: Convert to fraction form
    582.05/802.82 = 361.10/x
  3. Step 3: Cross multiply
    582.05x = 802.82 × 361.10
  4. Step 4: Simplify right side
    582.05x = 289,898.30
  5. Step 5: Solve for x
    x = 289,898.30/582.05
  6. Step 6: Final answer
    x = 498.06

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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.