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Finding the Fourth Proportional to 647.89, 882.13 and 645.84

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Solution

The fourth proportional to 647.89, 882.13 and 645.84 is: 879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.89 : 882.13 = 645.84 : x
  2. Step 2: Convert to fraction form
    647.89/882.13 = 645.84/x
  3. Step 3: Cross multiply
    647.89x = 882.13 × 645.84
  4. Step 4: Simplify right side
    647.89x = 569,713.22
  5. Step 5: Solve for x
    x = 569,713.22/647.89
  6. Step 6: Final answer
    x = 879.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.