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Finding the Fourth Proportional to 787.61, 1,087.01 and 451.65

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Solution

The fourth proportional to 787.61, 1,087.01 and 451.65 is: 623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.61 : 1,087.01 = 451.65 : x
  2. Step 2: Convert to fraction form
    787.61/1,087.01 = 451.65/x
  3. Step 3: Cross multiply
    787.61x = 1,087.01 × 451.65
  4. Step 4: Simplify right side
    787.61x = 490,943.43
  5. Step 5: Solve for x
    x = 490,943.43/787.61
  6. Step 6: Final answer
    x = 623.33

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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.