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Finding the Fourth Proportional to 1,775.97, 2,664.20 and 606.30

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Solution

The fourth proportional to 1,775.97, 2,664.20 and 606.30 is: 909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.97 : 2,664.20 = 606.30 : x
  2. Step 2: Convert to fraction form
    1,775.97/2,664.20 = 606.30/x
  3. Step 3: Cross multiply
    1,775.97x = 2,664.20 × 606.30
  4. Step 4: Simplify right side
    1,775.97x = 1,615,304.46
  5. Step 5: Solve for x
    x = 1,615,304.46/1,775.97
  6. Step 6: Final answer
    x = 909.54

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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.