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Finding the Fourth Proportional to 942.85, 1,301.13 and 523.19

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Solution

The fourth proportional to 942.85, 1,301.13 and 523.19 is: 722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.85 : 1,301.13 = 523.19 : x
  2. Step 2: Convert to fraction form
    942.85/1,301.13 = 523.19/x
  3. Step 3: Cross multiply
    942.85x = 1,301.13 × 523.19
  4. Step 4: Simplify right side
    942.85x = 680,738.20
  5. Step 5: Solve for x
    x = 680,738.20/942.85
  6. Step 6: Final answer
    x = 722.00

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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.