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Finding the Fourth Proportional to 1,355.47, 1,869.76 and 795.83

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Solution

The fourth proportional to 1,355.47, 1,869.76 and 795.83 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.47 : 1,869.76 = 795.83 : x
  2. Step 2: Convert to fraction form
    1,355.47/1,869.76 = 795.83/x
  3. Step 3: Cross multiply
    1,355.47x = 1,869.76 × 795.83
  4. Step 4: Simplify right side
    1,355.47x = 1,488,002.75
  5. Step 5: Solve for x
    x = 1,488,002.75/1,355.47
  6. Step 6: Final answer
    x = 1,097.78

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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.