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Finding the Fourth Proportional to 944.36, 1,415.82 and 431

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Solution

The fourth proportional to 944.36, 1,415.82 and 431 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.36 : 1,415.82 = 431 : x
  2. Step 2: Convert to fraction form
    944.36/1,415.82 = 431/x
  3. Step 3: Cross multiply
    944.36x = 1,415.82 × 431
  4. Step 4: Simplify right side
    944.36x = 610,218.42
  5. Step 5: Solve for x
    x = 610,218.42/944.36
  6. Step 6: Final answer
    x = 646.17

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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.