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Finding the Fourth Proportional to 695.20, 1,038.11 and 604.12

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Solution

The fourth proportional to 695.20, 1,038.11 and 604.12 is: 902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.20 : 1,038.11 = 604.12 : x
  2. Step 2: Convert to fraction form
    695.20/1,038.11 = 604.12/x
  3. Step 3: Cross multiply
    695.20x = 1,038.11 × 604.12
  4. Step 4: Simplify right side
    695.20x = 627,143.01
  5. Step 5: Solve for x
    x = 627,143.01/695.20
  6. Step 6: Final answer
    x = 902.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.