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Finding the Fourth Proportional to 1,004.93, 1,386.79 and 562.84

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Solution

The fourth proportional to 1,004.93, 1,386.79 and 562.84 is: 776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.93 : 1,386.79 = 562.84 : x
  2. Step 2: Convert to fraction form
    1,004.93/1,386.79 = 562.84/x
  3. Step 3: Cross multiply
    1,004.93x = 1,386.79 × 562.84
  4. Step 4: Simplify right side
    1,004.93x = 780,540.88
  5. Step 5: Solve for x
    x = 780,540.88/1,004.93
  6. Step 6: Final answer
    x = 776.71

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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.