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Finding the Fourth Proportional to 647.58, 893.14 and 564.54

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Solution

The fourth proportional to 647.58, 893.14 and 564.54 is: 778.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.58 : 893.14 = 564.54 : x
  2. Step 2: Convert to fraction form
    647.58/893.14 = 564.54/x
  3. Step 3: Cross multiply
    647.58x = 893.14 × 564.54
  4. Step 4: Simplify right side
    647.58x = 504,213.26
  5. Step 5: Solve for x
    x = 504,213.26/647.58
  6. Step 6: Final answer
    x = 778.61

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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.