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Finding the Fourth Proportional to 1,394.40, 2,090.70 and 665.04

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Solution

The fourth proportional to 1,394.40, 2,090.70 and 665.04 is: 997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.40 : 2,090.70 = 665.04 : x
  2. Step 2: Convert to fraction form
    1,394.40/2,090.70 = 665.04/x
  3. Step 3: Cross multiply
    1,394.40x = 2,090.70 × 665.04
  4. Step 4: Simplify right side
    1,394.40x = 1,390,399.13
  5. Step 5: Solve for x
    x = 1,390,399.13/1,394.40
  6. Step 6: Final answer
    x = 997.13

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1.5x scale

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.