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Finding the Fourth Proportional to 1,648.74, 2,472.87 and 622.50

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Solution

The fourth proportional to 1,648.74, 2,472.87 and 622.50 is: 933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.74 : 2,472.87 = 622.50 : x
  2. Step 2: Convert to fraction form
    1,648.74/2,472.87 = 622.50/x
  3. Step 3: Cross multiply
    1,648.74x = 2,472.87 × 622.50
  4. Step 4: Simplify right side
    1,648.74x = 1,539,361.58
  5. Step 5: Solve for x
    x = 1,539,361.58/1,648.74
  6. Step 6: Final answer
    x = 933.66

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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.