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Finding the Fourth Proportional to 941.91, 1,299.64 and 549.06

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Solution

The fourth proportional to 941.91, 1,299.64 and 549.06 is: 757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.91 : 1,299.64 = 549.06 : x
  2. Step 2: Convert to fraction form
    941.91/1,299.64 = 549.06/x
  3. Step 3: Cross multiply
    941.91x = 1,299.64 × 549.06
  4. Step 4: Simplify right side
    941.91x = 713,580.34
  5. Step 5: Solve for x
    x = 713,580.34/941.91
  6. Step 6: Final answer
    x = 757.59

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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.