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Finding the Fourth Proportional to 1,319.00, 1,819.94 and 787.86

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Solution

The fourth proportional to 1,319.00, 1,819.94 and 787.86 is: 1,087.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.00 : 1,819.94 = 787.86 : x
  2. Step 2: Convert to fraction form
    1,319.00/1,819.94 = 787.86/x
  3. Step 3: Cross multiply
    1,319.00x = 1,819.94 × 787.86
  4. Step 4: Simplify right side
    1,319.00x = 1,433,853.99
  5. Step 5: Solve for x
    x = 1,433,853.99/1,319.00
  6. Step 6: Final answer
    x = 1,087.08

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Why These Related Problems?

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