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Finding the Fourth Proportional to 993.72, 1,369.47 and 713.49

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Solution

The fourth proportional to 993.72, 1,369.47 and 713.49 is: 983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.72 : 1,369.47 = 713.49 : x
  2. Step 2: Convert to fraction form
    993.72/1,369.47 = 713.49/x
  3. Step 3: Cross multiply
    993.72x = 1,369.47 × 713.49
  4. Step 4: Simplify right side
    993.72x = 977,103.15
  5. Step 5: Solve for x
    x = 977,103.15/993.72
  6. Step 6: Final answer
    x = 983.28

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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.