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Finding the Fourth Proportional to 1,009.04, 1,392.31 and 589.33

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Solution

The fourth proportional to 1,009.04, 1,392.31 and 589.33 is: 813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.04 : 1,392.31 = 589.33 : x
  2. Step 2: Convert to fraction form
    1,009.04/1,392.31 = 589.33/x
  3. Step 3: Cross multiply
    1,009.04x = 1,392.31 × 589.33
  4. Step 4: Simplify right side
    1,009.04x = 820,530.05
  5. Step 5: Solve for x
    x = 820,530.05/1,009.04
  6. Step 6: Final answer
    x = 813.18

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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.