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Finding the Fourth Proportional to 773.22, 1,066.50 and 493.16

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Solution

The fourth proportional to 773.22, 1,066.50 and 493.16 is: 680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.22 : 1,066.50 = 493.16 : x
  2. Step 2: Convert to fraction form
    773.22/1,066.50 = 493.16/x
  3. Step 3: Cross multiply
    773.22x = 1,066.50 × 493.16
  4. Step 4: Simplify right side
    773.22x = 525,955.14
  5. Step 5: Solve for x
    x = 525,955.14/773.22
  6. Step 6: Final answer
    x = 680.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.