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Finding the Fourth Proportional to 1,008.61, 1,391.92 and 589.23

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Solution

The fourth proportional to 1,008.61, 1,391.92 and 589.23 is: 813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.61 : 1,391.92 = 589.23 : x
  2. Step 2: Convert to fraction form
    1,008.61/1,391.92 = 589.23/x
  3. Step 3: Cross multiply
    1,008.61x = 1,391.92 × 589.23
  4. Step 4: Simplify right side
    1,008.61x = 820,161.02
  5. Step 5: Solve for x
    x = 820,161.02/1,008.61
  6. Step 6: Final answer
    x = 813.16

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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.