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Finding the Fourth Proportional to 646.57, 964.89 and 577.37

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Solution

The fourth proportional to 646.57, 964.89 and 577.37 is: 861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.57 : 964.89 = 577.37 : x
  2. Step 2: Convert to fraction form
    646.57/964.89 = 577.37/x
  3. Step 3: Cross multiply
    646.57x = 964.89 × 577.37
  4. Step 4: Simplify right side
    646.57x = 557,102.58
  5. Step 5: Solve for x
    x = 557,102.58/646.57
  6. Step 6: Final answer
    x = 861.62

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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.