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Finding the Fourth Proportional to 1,008.94, 1,392.09 and 589.05

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Solution

The fourth proportional to 1,008.94, 1,392.09 and 589.05 is: 812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.94 : 1,392.09 = 589.05 : x
  2. Step 2: Convert to fraction form
    1,008.94/1,392.09 = 589.05/x
  3. Step 3: Cross multiply
    1,008.94x = 1,392.09 × 589.05
  4. Step 4: Simplify right side
    1,008.94x = 820,010.61
  5. Step 5: Solve for x
    x = 820,010.61/1,008.94
  6. Step 6: Final answer
    x = 812.74

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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.