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Finding the Fourth Proportional to 993.60, 1,369.29 and 713.34

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Solution

The fourth proportional to 993.60, 1,369.29 and 713.34 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.60 : 1,369.29 = 713.34 : x
  2. Step 2: Convert to fraction form
    993.60/1,369.29 = 713.34/x
  3. Step 3: Cross multiply
    993.60x = 1,369.29 × 713.34
  4. Step 4: Simplify right side
    993.60x = 976,769.33
  5. Step 5: Solve for x
    x = 976,769.33/993.60
  6. Step 6: Final answer
    x = 983.06

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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.