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Finding the Fourth Proportional to 1,690.62, 2,333.34 and 1,410.41

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Solution

The fourth proportional to 1,690.62, 2,333.34 and 1,410.41 is: 1,946.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.62 : 2,333.34 = 1,410.41 : x
  2. Step 2: Convert to fraction form
    1,690.62/2,333.34 = 1,410.41/x
  3. Step 3: Cross multiply
    1,690.62x = 2,333.34 × 1,410.41
  4. Step 4: Simplify right side
    1,690.62x = 3,290,954.40
  5. Step 5: Solve for x
    x = 3,290,954.40/1,690.62
  6. Step 6: Final answer
    x = 1,946.60

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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.