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Finding the Fourth Proportional to 953.39, 1,428.59 and 513.97

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Solution

The fourth proportional to 953.39, 1,428.59 and 513.97 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.39 : 1,428.59 = 513.97 : x
  2. Step 2: Convert to fraction form
    953.39/1,428.59 = 513.97/x
  3. Step 3: Cross multiply
    953.39x = 1,428.59 × 513.97
  4. Step 4: Simplify right side
    953.39x = 734,250.12
  5. Step 5: Solve for x
    x = 734,250.12/953.39
  6. Step 6: Final answer
    x = 770.14

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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.