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Finding the Fourth Proportional to 647.47, 964.96 and 646.44

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Solution

The fourth proportional to 647.47, 964.96 and 646.44 is: 963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.47 : 964.96 = 646.44 : x
  2. Step 2: Convert to fraction form
    647.47/964.96 = 646.44/x
  3. Step 3: Cross multiply
    647.47x = 964.96 × 646.44
  4. Step 4: Simplify right side
    647.47x = 623,791.15
  5. Step 5: Solve for x
    x = 623,791.15/647.47
  6. Step 6: Final answer
    x = 963.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.