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Finding the Fourth Proportional to 695.30, 1,037.87 and 643.91

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Solution

The fourth proportional to 695.30, 1,037.87 and 643.91 is: 961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.30 : 1,037.87 = 643.91 : x
  2. Step 2: Convert to fraction form
    695.30/1,037.87 = 643.91/x
  3. Step 3: Cross multiply
    695.30x = 1,037.87 × 643.91
  4. Step 4: Simplify right side
    695.30x = 668,288.88
  5. Step 5: Solve for x
    x = 668,288.88/695.30
  6. Step 6: Final answer
    x = 961.16

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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.