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Finding the Fourth Proportional to 801.50, 1,200.50 and 389.77

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Solution

The fourth proportional to 801.50, 1,200.50 and 389.77 is: 583.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,200.50 = 389.77 : x
  2. Step 2: Convert to fraction form
    801.50/1,200.50 = 389.77/x
  3. Step 3: Cross multiply
    801.50x = 1,200.50 × 389.77
  4. Step 4: Simplify right side
    801.50x = 467,916.86
  5. Step 5: Solve for x
    x = 467,916.86/801.50
  6. Step 6: Final answer
    x = 583.80

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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.