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Finding the Fourth Proportional to 942.64, 1,300.40 and 611.18

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Solution

The fourth proportional to 942.64, 1,300.40 and 611.18 is: 843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.64 : 1,300.40 = 611.18 : x
  2. Step 2: Convert to fraction form
    942.64/1,300.40 = 611.18/x
  3. Step 3: Cross multiply
    942.64x = 1,300.40 × 611.18
  4. Step 4: Simplify right side
    942.64x = 794,771.97
  5. Step 5: Solve for x
    x = 794,771.97/942.64
  6. Step 6: Final answer
    x = 843.14

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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.