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Finding the Fourth Proportional to 681.40, 940.58 and 461.08

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Solution

The fourth proportional to 681.40, 940.58 and 461.08 is: 636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.40 : 940.58 = 461.08 : x
  2. Step 2: Convert to fraction form
    681.40/940.58 = 461.08/x
  3. Step 3: Cross multiply
    681.40x = 940.58 × 461.08
  4. Step 4: Simplify right side
    681.40x = 433,682.63
  5. Step 5: Solve for x
    x = 433,682.63/681.40
  6. Step 6: Final answer
    x = 636.46

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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.