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Finding the Fourth Proportional to 859.41, 1,290.68 and 824.61

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Solution

The fourth proportional to 859.41, 1,290.68 and 824.61 is: 1,238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.41 : 1,290.68 = 824.61 : x
  2. Step 2: Convert to fraction form
    859.41/1,290.68 = 824.61/x
  3. Step 3: Cross multiply
    859.41x = 1,290.68 × 824.61
  4. Step 4: Simplify right side
    859.41x = 1,064,303.51
  5. Step 5: Solve for x
    x = 1,064,303.51/859.41
  6. Step 6: Final answer
    x = 1,238.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.