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Finding the Fourth Proportional to 695.84, 1,047.25 and 523.40

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Solution

The fourth proportional to 695.84, 1,047.25 and 523.40 is: 787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.84 : 1,047.25 = 523.40 : x
  2. Step 2: Convert to fraction form
    695.84/1,047.25 = 523.40/x
  3. Step 3: Cross multiply
    695.84x = 1,047.25 × 523.40
  4. Step 4: Simplify right side
    695.84x = 548,122.80
  5. Step 5: Solve for x
    x = 548,122.80/695.84
  6. Step 6: Final answer
    x = 787.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.