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Finding the Fourth Proportional to 582.31, 802.94 and 395.91

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Solution

The fourth proportional to 582.31, 802.94 and 395.91 is: 545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.31 : 802.94 = 395.91 : x
  2. Step 2: Convert to fraction form
    582.31/802.94 = 395.91/x
  3. Step 3: Cross multiply
    582.31x = 802.94 × 395.91
  4. Step 4: Simplify right side
    582.31x = 317,893.37
  5. Step 5: Solve for x
    x = 317,893.37/582.31
  6. Step 6: Final answer
    x = 545.91

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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.