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Finding the Fourth Proportional to 866.34, 1,301.53 and 541.94

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Solution

The fourth proportional to 866.34, 1,301.53 and 541.94 is: 814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.34 : 1,301.53 = 541.94 : x
  2. Step 2: Convert to fraction form
    866.34/1,301.53 = 541.94/x
  3. Step 3: Cross multiply
    866.34x = 1,301.53 × 541.94
  4. Step 4: Simplify right side
    866.34x = 705,351.17
  5. Step 5: Solve for x
    x = 705,351.17/866.34
  6. Step 6: Final answer
    x = 814.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.