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Finding the Fourth Proportional to 741.03, 1,020.24 and 642.21

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Solution

The fourth proportional to 741.03, 1,020.24 and 642.21 is: 884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.03 : 1,020.24 = 642.21 : x
  2. Step 2: Convert to fraction form
    741.03/1,020.24 = 642.21/x
  3. Step 3: Cross multiply
    741.03x = 1,020.24 × 642.21
  4. Step 4: Simplify right side
    741.03x = 655,208.33
  5. Step 5: Solve for x
    x = 655,208.33/741.03
  6. Step 6: Final answer
    x = 884.19

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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.