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Finding the Fourth Proportional to 646.90, 964.12 and 645.87

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Solution

The fourth proportional to 646.90, 964.12 and 645.87 is: 962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.90 : 964.12 = 645.87 : x
  2. Step 2: Convert to fraction form
    646.90/964.12 = 645.87/x
  3. Step 3: Cross multiply
    646.90x = 964.12 × 645.87
  4. Step 4: Simplify right side
    646.90x = 622,696.18
  5. Step 5: Solve for x
    x = 622,696.18/646.90
  6. Step 6: Final answer
    x = 962.58

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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.