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Finding the Fourth Proportional to 695.82, 1,038.35 and 658.94

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Solution

The fourth proportional to 695.82, 1,038.35 and 658.94 is: 983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 1,038.35 = 658.94 : x
  2. Step 2: Convert to fraction form
    695.82/1,038.35 = 658.94/x
  3. Step 3: Cross multiply
    695.82x = 1,038.35 × 658.94
  4. Step 4: Simplify right side
    695.82x = 684,206.80
  5. Step 5: Solve for x
    x = 684,206.80/695.82
  6. Step 6: Final answer
    x = 983.30

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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.