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Finding the Fourth Proportional to 646.54, 964.85 and 577.34

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Solution

The fourth proportional to 646.54, 964.85 and 577.34 is: 861.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.54 : 964.85 = 577.34 : x
  2. Step 2: Convert to fraction form
    646.54/964.85 = 577.34/x
  3. Step 3: Cross multiply
    646.54x = 964.85 × 577.34
  4. Step 4: Simplify right side
    646.54x = 557,047.47
  5. Step 5: Solve for x
    x = 557,047.47/646.54
  6. Step 6: Final answer
    x = 861.58

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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.