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Finding the Fourth Proportional to 695.69, 1,035.90 and 687.95

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Solution

The fourth proportional to 695.69, 1,035.90 and 687.95 is: 1,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.69 : 1,035.90 = 687.95 : x
  2. Step 2: Convert to fraction form
    695.69/1,035.90 = 687.95/x
  3. Step 3: Cross multiply
    695.69x = 1,035.90 × 687.95
  4. Step 4: Simplify right side
    695.69x = 712,642.23
  5. Step 5: Solve for x
    x = 712,642.23/695.69
  6. Step 6: Final answer
    x = 1,024.37

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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.