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Finding the Fourth Proportional to 801.09, 1,199.34 and 507.78

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Solution

The fourth proportional to 801.09, 1,199.34 and 507.78 is: 760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.09 : 1,199.34 = 507.78 : x
  2. Step 2: Convert to fraction form
    801.09/1,199.34 = 507.78/x
  3. Step 3: Cross multiply
    801.09x = 1,199.34 × 507.78
  4. Step 4: Simplify right side
    801.09x = 609,000.87
  5. Step 5: Solve for x
    x = 609,000.87/801.09
  6. Step 6: Final answer
    x = 760.22

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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.