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Finding the Fourth Proportional to 1,669.60, 2,303.58 and 997.33

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Solution

The fourth proportional to 1,669.60, 2,303.58 and 997.33 is: 1,376.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.60 : 2,303.58 = 997.33 : x
  2. Step 2: Convert to fraction form
    1,669.60/2,303.58 = 997.33/x
  3. Step 3: Cross multiply
    1,669.60x = 2,303.58 × 997.33
  4. Step 4: Simplify right side
    1,669.60x = 2,297,429.44
  5. Step 5: Solve for x
    x = 2,297,429.44/1,669.60
  6. Step 6: Final answer
    x = 1,376.04

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1.5x scale

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.