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Finding the Fourth Proportional to 879.14, 1,312.30 and 813.98

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Solution

The fourth proportional to 879.14, 1,312.30 and 813.98 is: 1,215.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.14 : 1,312.30 = 813.98 : x
  2. Step 2: Convert to fraction form
    879.14/1,312.30 = 813.98/x
  3. Step 3: Cross multiply
    879.14x = 1,312.30 × 813.98
  4. Step 4: Simplify right side
    879.14x = 1,068,185.95
  5. Step 5: Solve for x
    x = 1,068,185.95/879.14
  6. Step 6: Final answer
    x = 1,215.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.