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Finding the Fourth Proportional to 879.48, 1,214.24 and 564.89

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Solution

The fourth proportional to 879.48, 1,214.24 and 564.89 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.48 : 1,214.24 = 564.89 : x
  2. Step 2: Convert to fraction form
    879.48/1,214.24 = 564.89/x
  3. Step 3: Cross multiply
    879.48x = 1,214.24 × 564.89
  4. Step 4: Simplify right side
    879.48x = 685,903.14
  5. Step 5: Solve for x
    x = 685,903.14/879.48
  6. Step 6: Final answer
    x = 779.90

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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.