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Finding the Fourth Proportional to 2,580.70, 3,871.05 and 632.89

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Solution

The fourth proportional to 2,580.70, 3,871.05 and 632.89 is: 949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,580.70 : 3,871.05 = 632.89 : x
  2. Step 2: Convert to fraction form
    2,580.70/3,871.05 = 632.89/x
  3. Step 3: Cross multiply
    2,580.70x = 3,871.05 × 632.89
  4. Step 4: Simplify right side
    2,580.70x = 2,449,948.83
  5. Step 5: Solve for x
    x = 2,449,948.83/2,580.70
  6. Step 6: Final answer
    x = 949.34

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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.