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Finding the Fourth Proportional to 647.05, 965.60 and 577.85

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Solution

The fourth proportional to 647.05, 965.60 and 577.85 is: 862.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.05 : 965.60 = 577.85 : x
  2. Step 2: Convert to fraction form
    647.05/965.60 = 577.85/x
  3. Step 3: Cross multiply
    647.05x = 965.60 × 577.85
  4. Step 4: Simplify right side
    647.05x = 557,964.24
  5. Step 5: Solve for x
    x = 557,964.24/647.05
  6. Step 6: Final answer
    x = 862.33

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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.