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Finding the Fourth Proportional to 681.52, 940.94 and 457.76

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Solution

The fourth proportional to 681.52, 940.94 and 457.76 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.52 : 940.94 = 457.76 : x
  2. Step 2: Convert to fraction form
    681.52/940.94 = 457.76/x
  3. Step 3: Cross multiply
    681.52x = 940.94 × 457.76
  4. Step 4: Simplify right side
    681.52x = 430,724.69
  5. Step 5: Solve for x
    x = 430,724.69/681.52
  6. Step 6: Final answer
    x = 632.01

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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.