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Finding the Fourth Proportional to 782.44, 1,172.92 and 507.71

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Solution

The fourth proportional to 782.44, 1,172.92 and 507.71 is: 761.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.44 : 1,172.92 = 507.71 : x
  2. Step 2: Convert to fraction form
    782.44/1,172.92 = 507.71/x
  3. Step 3: Cross multiply
    782.44x = 1,172.92 × 507.71
  4. Step 4: Simplify right side
    782.44x = 595,503.21
  5. Step 5: Solve for x
    x = 595,503.21/782.44
  6. Step 6: Final answer
    x = 761.08

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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.