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Finding the Fourth Proportional to 681.92, 940.40 and 458.36

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Solution

The fourth proportional to 681.92, 940.40 and 458.36 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.92 : 940.40 = 458.36 : x
  2. Step 2: Convert to fraction form
    681.92/940.40 = 458.36/x
  3. Step 3: Cross multiply
    681.92x = 940.40 × 458.36
  4. Step 4: Simplify right side
    681.92x = 431,041.74
  5. Step 5: Solve for x
    x = 431,041.74/681.92
  6. Step 6: Final answer
    x = 632.10

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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.