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Finding the Fourth Proportional to 1,386.61, 1,913.32 and 796.93

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Solution

The fourth proportional to 1,386.61, 1,913.32 and 796.93 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.61 : 1,913.32 = 796.93 : x
  2. Step 2: Convert to fraction form
    1,386.61/1,913.32 = 796.93/x
  3. Step 3: Cross multiply
    1,386.61x = 1,913.32 × 796.93
  4. Step 4: Simplify right side
    1,386.61x = 1,524,782.11
  5. Step 5: Solve for x
    x = 1,524,782.11/1,386.61
  6. Step 6: Final answer
    x = 1,099.65

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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.