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Finding the Fourth Proportional to 779.18, 1,168.80 and 292.18

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Solution

The fourth proportional to 779.18, 1,168.80 and 292.18 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.18 : 1,168.80 = 292.18 : x
  2. Step 2: Convert to fraction form
    779.18/1,168.80 = 292.18/x
  3. Step 3: Cross multiply
    779.18x = 1,168.80 × 292.18
  4. Step 4: Simplify right side
    779.18x = 341,499.98
  5. Step 5: Solve for x
    x = 341,499.98/779.18
  6. Step 6: Final answer
    x = 438.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.