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Finding the Fourth Proportional to 858, 1,283.76 and 531.84

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Solution

The fourth proportional to 858, 1,283.76 and 531.84 is: 795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    858 : 1,283.76 = 531.84 : x
  2. Step 2: Convert to fraction form
    858/1,283.76 = 531.84/x
  3. Step 3: Cross multiply
    858x = 1,283.76 × 531.84
  4. Step 4: Simplify right side
    858x = 682,754.92
  5. Step 5: Solve for x
    x = 682,754.92/858
  6. Step 6: Final answer
    x = 795.75

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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.