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Finding the Fourth Proportional to 1,008.88, 1,392.25 and 589.52

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Solution

The fourth proportional to 1,008.88, 1,392.25 and 589.52 is: 813.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.88 : 1,392.25 = 589.52 : x
  2. Step 2: Convert to fraction form
    1,008.88/1,392.25 = 589.52/x
  3. Step 3: Cross multiply
    1,008.88x = 1,392.25 × 589.52
  4. Step 4: Simplify right side
    1,008.88x = 820,759.22
  5. Step 5: Solve for x
    x = 820,759.22/1,008.88
  6. Step 6: Final answer
    x = 813.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.