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Finding the Fourth Proportional to 940.91, 1,298.27 and 548.06

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Solution

The fourth proportional to 940.91, 1,298.27 and 548.06 is: 756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.91 : 1,298.27 = 548.06 : x
  2. Step 2: Convert to fraction form
    940.91/1,298.27 = 548.06/x
  3. Step 3: Cross multiply
    940.91x = 1,298.27 × 548.06
  4. Step 4: Simplify right side
    940.91x = 711,520.62
  5. Step 5: Solve for x
    x = 711,520.62/940.91
  6. Step 6: Final answer
    x = 756.21

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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.