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Finding the Fourth Proportional to 1,342.08, 1,852.20 and 818.46

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Solution

The fourth proportional to 1,342.08, 1,852.20 and 818.46 is: 1,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.08 : 1,852.20 = 818.46 : x
  2. Step 2: Convert to fraction form
    1,342.08/1,852.20 = 818.46/x
  3. Step 3: Cross multiply
    1,342.08x = 1,852.20 × 818.46
  4. Step 4: Simplify right side
    1,342.08x = 1,515,951.61
  5. Step 5: Solve for x
    x = 1,515,951.61/1,342.08
  6. Step 6: Final answer
    x = 1,129.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.