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Finding the Fourth Proportional to 953.78, 1,431.20 and 543.17

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Solution

The fourth proportional to 953.78, 1,431.20 and 543.17 is: 815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.78 : 1,431.20 = 543.17 : x
  2. Step 2: Convert to fraction form
    953.78/1,431.20 = 543.17/x
  3. Step 3: Cross multiply
    953.78x = 1,431.20 × 543.17
  4. Step 4: Simplify right side
    953.78x = 777,389.84
  5. Step 5: Solve for x
    x = 777,389.84/953.78
  6. Step 6: Final answer
    x = 815.07

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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.