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Finding the Fourth Proportional to 953.14, 1,428.57 and 491.14

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Solution

The fourth proportional to 953.14, 1,428.57 and 491.14 is: 736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.14 : 1,428.57 = 491.14 : x
  2. Step 2: Convert to fraction form
    953.14/1,428.57 = 491.14/x
  3. Step 3: Cross multiply
    953.14x = 1,428.57 × 491.14
  4. Step 4: Simplify right side
    953.14x = 701,627.87
  5. Step 5: Solve for x
    x = 701,627.87/953.14
  6. Step 6: Final answer
    x = 736.12

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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.