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Finding the Fourth Proportional to 773.54, 1,066.42 and 524.48

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Solution

The fourth proportional to 773.54, 1,066.42 and 524.48 is: 723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.54 : 1,066.42 = 524.48 : x
  2. Step 2: Convert to fraction form
    773.54/1,066.42 = 524.48/x
  3. Step 3: Cross multiply
    773.54x = 1,066.42 × 524.48
  4. Step 4: Simplify right side
    773.54x = 559,315.96
  5. Step 5: Solve for x
    x = 559,315.96/773.54
  6. Step 6: Final answer
    x = 723.06

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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.