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Finding the Fourth Proportional to 1,320.64, 1,822.26 and 879.18

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Solution

The fourth proportional to 1,320.64, 1,822.26 and 879.18 is: 1,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.64 : 1,822.26 = 879.18 : x
  2. Step 2: Convert to fraction form
    1,320.64/1,822.26 = 879.18/x
  3. Step 3: Cross multiply
    1,320.64x = 1,822.26 × 879.18
  4. Step 4: Simplify right side
    1,320.64x = 1,602,094.55
  5. Step 5: Solve for x
    x = 1,602,094.55/1,320.64
  6. Step 6: Final answer
    x = 1,213.12

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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.