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Finding the Fourth Proportional to 651.84, 899.37 and 389.85

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Solution

The fourth proportional to 651.84, 899.37 and 389.85 is: 537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.84 : 899.37 = 389.85 : x
  2. Step 2: Convert to fraction form
    651.84/899.37 = 389.85/x
  3. Step 3: Cross multiply
    651.84x = 899.37 × 389.85
  4. Step 4: Simplify right side
    651.84x = 350,619.39
  5. Step 5: Solve for x
    x = 350,619.39/651.84
  6. Step 6: Final answer
    x = 537.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.