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Finding the Fourth Proportional to 800.24, 1,200.54 and 578.93

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Solution

The fourth proportional to 800.24, 1,200.54 and 578.93 is: 868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.24 : 1,200.54 = 578.93 : x
  2. Step 2: Convert to fraction form
    800.24/1,200.54 = 578.93/x
  3. Step 3: Cross multiply
    800.24x = 1,200.54 × 578.93
  4. Step 4: Simplify right side
    800.24x = 695,028.62
  5. Step 5: Solve for x
    x = 695,028.62/800.24
  6. Step 6: Final answer
    x = 868.53

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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.