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Finding the Fourth Proportional to 787.88, 1,086.84 and 472.94

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Solution

The fourth proportional to 787.88, 1,086.84 and 472.94 is: 652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.88 : 1,086.84 = 472.94 : x
  2. Step 2: Convert to fraction form
    787.88/1,086.84 = 472.94/x
  3. Step 3: Cross multiply
    787.88x = 1,086.84 × 472.94
  4. Step 4: Simplify right side
    787.88x = 514,010.11
  5. Step 5: Solve for x
    x = 514,010.11/787.88
  6. Step 6: Final answer
    x = 652.40

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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.