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Finding the Fourth Proportional to 742.25, 1,023.69 and 556.19

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Solution

The fourth proportional to 742.25, 1,023.69 and 556.19 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.25 : 1,023.69 = 556.19 : x
  2. Step 2: Convert to fraction form
    742.25/1,023.69 = 556.19/x
  3. Step 3: Cross multiply
    742.25x = 1,023.69 × 556.19
  4. Step 4: Simplify right side
    742.25x = 569,361.02
  5. Step 5: Solve for x
    x = 569,361.02/742.25
  6. Step 6: Final answer
    x = 767.07

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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.