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Finding the Fourth Proportional to 993.61, 1,369.47 and 713.08

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Solution

The fourth proportional to 993.61, 1,369.47 and 713.08 is: 982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.61 : 1,369.47 = 713.08 : x
  2. Step 2: Convert to fraction form
    993.61/1,369.47 = 713.08/x
  3. Step 3: Cross multiply
    993.61x = 1,369.47 × 713.08
  4. Step 4: Simplify right side
    993.61x = 976,541.67
  5. Step 5: Solve for x
    x = 976,541.67/993.61
  6. Step 6: Final answer
    x = 982.82

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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.