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Finding the Fourth Proportional to 2,292.89, 3,438.84 and 648.99

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Solution

The fourth proportional to 2,292.89, 3,438.84 and 648.99 is: 973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.89 : 3,438.84 = 648.99 : x
  2. Step 2: Convert to fraction form
    2,292.89/3,438.84 = 648.99/x
  3. Step 3: Cross multiply
    2,292.89x = 3,438.84 × 648.99
  4. Step 4: Simplify right side
    2,292.89x = 2,231,772.77
  5. Step 5: Solve for x
    x = 2,231,772.77/2,292.89
  6. Step 6: Final answer
    x = 973.35

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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.