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Finding the Fourth Proportional to 646.94, 965.41 and 577.72

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Solution

The fourth proportional to 646.94, 965.41 and 577.72 is: 862.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.94 : 965.41 = 577.72 : x
  2. Step 2: Convert to fraction form
    646.94/965.41 = 577.72/x
  3. Step 3: Cross multiply
    646.94x = 965.41 × 577.72
  4. Step 4: Simplify right side
    646.94x = 557,736.67
  5. Step 5: Solve for x
    x = 557,736.67/646.94
  6. Step 6: Final answer
    x = 862.11

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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.