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Finding the Fourth Proportional to 787.94, 1,086.97 and 473.05

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Solution

The fourth proportional to 787.94, 1,086.97 and 473.05 is: 652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.94 : 1,086.97 = 473.05 : x
  2. Step 2: Convert to fraction form
    787.94/1,086.97 = 473.05/x
  3. Step 3: Cross multiply
    787.94x = 1,086.97 × 473.05
  4. Step 4: Simplify right side
    787.94x = 514,188.79
  5. Step 5: Solve for x
    x = 514,188.79/787.94
  6. Step 6: Final answer
    x = 652.57

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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.