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Finding the Fourth Proportional to 785.22, 1,177.41 and 507.54

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Solution

The fourth proportional to 785.22, 1,177.41 and 507.54 is: 761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.22 : 1,177.41 = 507.54 : x
  2. Step 2: Convert to fraction form
    785.22/1,177.41 = 507.54/x
  3. Step 3: Cross multiply
    785.22x = 1,177.41 × 507.54
  4. Step 4: Simplify right side
    785.22x = 597,578.24
  5. Step 5: Solve for x
    x = 597,578.24/785.22
  6. Step 6: Final answer
    x = 761.03

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