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Finding the Fourth Proportional to 941.27, 1,298.96 and 521.64

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Solution

The fourth proportional to 941.27, 1,298.96 and 521.64 is: 719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.27 : 1,298.96 = 521.64 : x
  2. Step 2: Convert to fraction form
    941.27/1,298.96 = 521.64/x
  3. Step 3: Cross multiply
    941.27x = 1,298.96 × 521.64
  4. Step 4: Simplify right side
    941.27x = 677,586.89
  5. Step 5: Solve for x
    x = 677,586.89/941.27
  6. Step 6: Final answer
    x = 719.87

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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.