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Finding the Fourth Proportional to 647.64, 965.23 and 646.63

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Solution

The fourth proportional to 647.64, 965.23 and 646.63 is: 963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 965.23 = 646.63 : x
  2. Step 2: Convert to fraction form
    647.64/965.23 = 646.63/x
  3. Step 3: Cross multiply
    647.64x = 965.23 × 646.63
  4. Step 4: Simplify right side
    647.64x = 624,142.65
  5. Step 5: Solve for x
    x = 624,142.65/647.64
  6. Step 6: Final answer
    x = 963.72

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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.