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Finding the Fourth Proportional to 2,678.83, 4,017.52 and 730.57

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Solution

The fourth proportional to 2,678.83, 4,017.52 and 730.57 is: 1,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.83 : 4,017.52 = 730.57 : x
  2. Step 2: Convert to fraction form
    2,678.83/4,017.52 = 730.57/x
  3. Step 3: Cross multiply
    2,678.83x = 4,017.52 × 730.57
  4. Step 4: Simplify right side
    2,678.83x = 2,935,079.59
  5. Step 5: Solve for x
    x = 2,935,079.59/2,678.83
  6. Step 6: Final answer
    x = 1,095.66

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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.