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Finding the Fourth Proportional to 695.23, 963.80 and 658.24

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Solution

The fourth proportional to 695.23, 963.80 and 658.24 is: 912.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.23 : 963.80 = 658.24 : x
  2. Step 2: Convert to fraction form
    695.23/963.80 = 658.24/x
  3. Step 3: Cross multiply
    695.23x = 963.80 × 658.24
  4. Step 4: Simplify right side
    695.23x = 634,406.89
  5. Step 5: Solve for x
    x = 634,406.89/695.23
  6. Step 6: Final answer
    x = 912.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.