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Finding the Fourth Proportional to 647.84, 965.51 and 646.81

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Solution

The fourth proportional to 647.84, 965.51 and 646.81 is: 963.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 965.51 = 646.81 : x
  2. Step 2: Convert to fraction form
    647.84/965.51 = 646.81/x
  3. Step 3: Cross multiply
    647.84x = 965.51 × 646.81
  4. Step 4: Simplify right side
    647.84x = 624,495.88
  5. Step 5: Solve for x
    x = 624,495.88/647.84
  6. Step 6: Final answer
    x = 963.96

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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.