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Finding the Fourth Proportional to 953.17, 1,428.98 and 336.83

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Solution

The fourth proportional to 953.17, 1,428.98 and 336.83 is: 504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.17 : 1,428.98 = 336.83 : x
  2. Step 2: Convert to fraction form
    953.17/1,428.98 = 336.83/x
  3. Step 3: Cross multiply
    953.17x = 1,428.98 × 336.83
  4. Step 4: Simplify right side
    953.17x = 481,314.50
  5. Step 5: Solve for x
    x = 481,314.50/953.17
  6. Step 6: Final answer
    x = 504.96

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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.