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Finding the Fourth Proportional to 669.53, 1,003.44 and 582.50

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Solution

The fourth proportional to 669.53, 1,003.44 and 582.50 is: 873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 1,003.44 = 582.50 : x
  2. Step 2: Convert to fraction form
    669.53/1,003.44 = 582.50/x
  3. Step 3: Cross multiply
    669.53x = 1,003.44 × 582.50
  4. Step 4: Simplify right side
    669.53x = 584,503.80
  5. Step 5: Solve for x
    x = 584,503.80/669.53
  6. Step 6: Final answer
    x = 873.01

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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.