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Finding the Fourth Proportional to 632.45, 872.12 and 582.23

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Solution

The fourth proportional to 632.45, 872.12 and 582.23 is: 802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.45 : 872.12 = 582.23 : x
  2. Step 2: Convert to fraction form
    632.45/872.12 = 582.23/x
  3. Step 3: Cross multiply
    632.45x = 872.12 × 582.23
  4. Step 4: Simplify right side
    632.45x = 507,778.06
  5. Step 5: Solve for x
    x = 507,778.06/632.45
  6. Step 6: Final answer
    x = 802.87

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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.