Home / 1,644.84-2,270.16-946.62

Finding the Fourth Proportional to 1,644.84, 2,270.16 and 946.62

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Solution

The fourth proportional to 1,644.84, 2,270.16 and 946.62 is: 1,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.84 : 2,270.16 = 946.62 : x
  2. Step 2: Convert to fraction form
    1,644.84/2,270.16 = 946.62/x
  3. Step 3: Cross multiply
    1,644.84x = 2,270.16 × 946.62
  4. Step 4: Simplify right side
    1,644.84x = 2,148,978.86
  5. Step 5: Solve for x
    x = 2,148,978.86/1,644.84
  6. Step 6: Final answer
    x = 1,306.50

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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.