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Finding the Fourth Proportional to 773.13, 1,066.59 and 493.41

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Solution

The fourth proportional to 773.13, 1,066.59 and 493.41 is: 680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.13 : 1,066.59 = 493.41 : x
  2. Step 2: Convert to fraction form
    773.13/1,066.59 = 493.41/x
  3. Step 3: Cross multiply
    773.13x = 1,066.59 × 493.41
  4. Step 4: Simplify right side
    773.13x = 526,266.17
  5. Step 5: Solve for x
    x = 526,266.17/773.13
  6. Step 6: Final answer
    x = 680.70

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Why These Related Problems?

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