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Finding the Fourth Proportional to 2,606.23, 3,909.01 and 658.32

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Solution

The fourth proportional to 2,606.23, 3,909.01 and 658.32 is: 987.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.23 : 3,909.01 = 658.32 : x
  2. Step 2: Convert to fraction form
    2,606.23/3,909.01 = 658.32/x
  3. Step 3: Cross multiply
    2,606.23x = 3,909.01 × 658.32
  4. Step 4: Simplify right side
    2,606.23x = 2,573,379.46
  5. Step 5: Solve for x
    x = 2,573,379.46/2,606.23
  6. Step 6: Final answer
    x = 987.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.