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Finding the Fourth Proportional to 879.16, 1,214.02 and 584.36

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Solution

The fourth proportional to 879.16, 1,214.02 and 584.36 is: 806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.16 : 1,214.02 = 584.36 : x
  2. Step 2: Convert to fraction form
    879.16/1,214.02 = 584.36/x
  3. Step 3: Cross multiply
    879.16x = 1,214.02 × 584.36
  4. Step 4: Simplify right side
    879.16x = 709,424.73
  5. Step 5: Solve for x
    x = 709,424.73/879.16
  6. Step 6: Final answer
    x = 806.93

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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.