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Finding the Fourth Proportional to 646.44, 964.67 and 577.22

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Solution

The fourth proportional to 646.44, 964.67 and 577.22 is: 861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.44 : 964.67 = 577.22 : x
  2. Step 2: Convert to fraction form
    646.44/964.67 = 577.22/x
  3. Step 3: Cross multiply
    646.44x = 964.67 × 577.22
  4. Step 4: Simplify right side
    646.44x = 556,826.82
  5. Step 5: Solve for x
    x = 556,826.82/646.44
  6. Step 6: Final answer
    x = 861.38

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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.