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Finding the Fourth Proportional to 787.51, 1,086.75 and 492.94

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Solution

The fourth proportional to 787.51, 1,086.75 and 492.94 is: 680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.51 : 1,086.75 = 492.94 : x
  2. Step 2: Convert to fraction form
    787.51/1,086.75 = 492.94/x
  3. Step 3: Cross multiply
    787.51x = 1,086.75 × 492.94
  4. Step 4: Simplify right side
    787.51x = 535,698.77
  5. Step 5: Solve for x
    x = 535,698.77/787.51
  6. Step 6: Final answer
    x = 680.25

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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.