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Finding the Fourth Proportional to 647.56, 893.64 and 352.83

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Solution

The fourth proportional to 647.56, 893.64 and 352.83 is: 486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.56 : 893.64 = 352.83 : x
  2. Step 2: Convert to fraction form
    647.56/893.64 = 352.83/x
  3. Step 3: Cross multiply
    647.56x = 893.64 × 352.83
  4. Step 4: Simplify right side
    647.56x = 315,296.77
  5. Step 5: Solve for x
    x = 315,296.77/647.56
  6. Step 6: Final answer
    x = 486.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.