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Finding the Fourth Proportional to 1,009, 1,392.43 and 589.64

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Solution

The fourth proportional to 1,009, 1,392.43 and 589.64 is: 813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009 : 1,392.43 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,009/1,392.43 = 589.64/x
  3. Step 3: Cross multiply
    1,009x = 1,392.43 × 589.64
  4. Step 4: Simplify right side
    1,009x = 821,032.43
  5. Step 5: Solve for x
    x = 821,032.43/1,009
  6. Step 6: Final answer
    x = 813.71

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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.