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Finding the Fourth Proportional to 2,507.85, 3,762 and 658.94

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Solution

The fourth proportional to 2,507.85, 3,762 and 658.94 is: 988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.85 : 3,762 = 658.94 : x
  2. Step 2: Convert to fraction form
    2,507.85/3,762 = 658.94/x
  3. Step 3: Cross multiply
    2,507.85x = 3,762 × 658.94
  4. Step 4: Simplify right side
    2,507.85x = 2,478,913.47
  5. Step 5: Solve for x
    x = 2,478,913.47/2,507.85
  6. Step 6: Final answer
    x = 988.46

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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.