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Finding the Fourth Proportional to 1,584.60, 2,377.86 and 718.92

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Solution

The fourth proportional to 1,584.60, 2,377.86 and 718.92 is: 1,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.60 : 2,377.86 = 718.92 : x
  2. Step 2: Convert to fraction form
    1,584.60/2,377.86 = 718.92/x
  3. Step 3: Cross multiply
    1,584.60x = 2,377.86 × 718.92
  4. Step 4: Simplify right side
    1,584.60x = 1,709,491.11
  5. Step 5: Solve for x
    x = 1,709,491.11/1,584.60
  6. Step 6: Final answer
    x = 1,078.82

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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.