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Finding the Fourth Proportional to 953.85, 1,428.60 and 568.29

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Solution

The fourth proportional to 953.85, 1,428.60 and 568.29 is: 851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.85 : 1,428.60 = 568.29 : x
  2. Step 2: Convert to fraction form
    953.85/1,428.60 = 568.29/x
  3. Step 3: Cross multiply
    953.85x = 1,428.60 × 568.29
  4. Step 4: Simplify right side
    953.85x = 811,859.09
  5. Step 5: Solve for x
    x = 811,859.09/953.85
  6. Step 6: Final answer
    x = 851.14

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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.