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Finding the Fourth Proportional to 914.72, 1,371.68 and 568.04

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Solution

The fourth proportional to 914.72, 1,371.68 and 568.04 is: 851.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.72 : 1,371.68 = 568.04 : x
  2. Step 2: Convert to fraction form
    914.72/1,371.68 = 568.04/x
  3. Step 3: Cross multiply
    914.72x = 1,371.68 × 568.04
  4. Step 4: Simplify right side
    914.72x = 779,169.11
  5. Step 5: Solve for x
    x = 779,169.11/914.72
  6. Step 6: Final answer
    x = 851.81

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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.