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Finding the Fourth Proportional to 773.06, 1,066.66 and 493.11

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Solution

The fourth proportional to 773.06, 1,066.66 and 493.11 is: 680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.06 : 1,066.66 = 493.11 : x
  2. Step 2: Convert to fraction form
    773.06/1,066.66 = 493.11/x
  3. Step 3: Cross multiply
    773.06x = 1,066.66 × 493.11
  4. Step 4: Simplify right side
    773.06x = 525,981.79
  5. Step 5: Solve for x
    x = 525,981.79/773.06
  6. Step 6: Final answer
    x = 680.39

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1.5x scale

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.