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Finding the Fourth Proportional to 941.51, 1,299.25 and 521.84

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Solution

The fourth proportional to 941.51, 1,299.25 and 521.84 is: 720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.51 : 1,299.25 = 521.84 : x
  2. Step 2: Convert to fraction form
    941.51/1,299.25 = 521.84/x
  3. Step 3: Cross multiply
    941.51x = 1,299.25 × 521.84
  4. Step 4: Simplify right side
    941.51x = 678,000.62
  5. Step 5: Solve for x
    x = 678,000.62/941.51
  6. Step 6: Final answer
    x = 720.12

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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.