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Finding the Fourth Proportional to 941.53, 1,299.36 and 521.89

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Solution

The fourth proportional to 941.53, 1,299.36 and 521.89 is: 720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.53 : 1,299.36 = 521.89 : x
  2. Step 2: Convert to fraction form
    941.53/1,299.36 = 521.89/x
  3. Step 3: Cross multiply
    941.53x = 1,299.36 × 521.89
  4. Step 4: Simplify right side
    941.53x = 678,122.99
  5. Step 5: Solve for x
    x = 678,122.99/941.53
  6. Step 6: Final answer
    x = 720.24

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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.