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Finding the Fourth Proportional to 913.82, 1,261.07 and 494.18

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Solution

The fourth proportional to 913.82, 1,261.07 and 494.18 is: 681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.82 : 1,261.07 = 494.18 : x
  2. Step 2: Convert to fraction form
    913.82/1,261.07 = 494.18/x
  3. Step 3: Cross multiply
    913.82x = 1,261.07 × 494.18
  4. Step 4: Simplify right side
    913.82x = 623,190.50
  5. Step 5: Solve for x
    x = 623,190.50/913.82
  6. Step 6: Final answer
    x = 681.96

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Double scale
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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.