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Finding the Fourth Proportional to 1,450.83, 2,002.15 and 787.69

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Solution

The fourth proportional to 1,450.83, 2,002.15 and 787.69 is: 1,087.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.83 : 2,002.15 = 787.69 : x
  2. Step 2: Convert to fraction form
    1,450.83/2,002.15 = 787.69/x
  3. Step 3: Cross multiply
    1,450.83x = 2,002.15 × 787.69
  4. Step 4: Simplify right side
    1,450.83x = 1,577,065.76
  5. Step 5: Solve for x
    x = 1,577,065.76/1,450.83
  6. Step 6: Final answer
    x = 1,087.01

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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.