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Finding the Fourth Proportional to 964.71, 1,447.18 and 431.01

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Solution

The fourth proportional to 964.71, 1,447.18 and 431.01 is: 646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,447.18 = 431.01 : x
  2. Step 2: Convert to fraction form
    964.71/1,447.18 = 431.01/x
  3. Step 3: Cross multiply
    964.71x = 1,447.18 × 431.01
  4. Step 4: Simplify right side
    964.71x = 623,747.97
  5. Step 5: Solve for x
    x = 623,747.97/964.71
  6. Step 6: Final answer
    x = 646.57

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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.