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Finding the Fourth Proportional to 802.37, 1,200.98 and 582.23

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Solution

The fourth proportional to 802.37, 1,200.98 and 582.23 is: 871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.37 : 1,200.98 = 582.23 : x
  2. Step 2: Convert to fraction form
    802.37/1,200.98 = 582.23/x
  3. Step 3: Cross multiply
    802.37x = 1,200.98 × 582.23
  4. Step 4: Simplify right side
    802.37x = 699,237.67
  5. Step 5: Solve for x
    x = 699,237.67/802.37
  6. Step 6: Final answer
    x = 871.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.