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Finding the Fourth Proportional to 856.47, 1,283.67 and 393.62

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Solution

The fourth proportional to 856.47, 1,283.67 and 393.62 is: 589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.47 : 1,283.67 = 393.62 : x
  2. Step 2: Convert to fraction form
    856.47/1,283.67 = 393.62/x
  3. Step 3: Cross multiply
    856.47x = 1,283.67 × 393.62
  4. Step 4: Simplify right side
    856.47x = 505,271.77
  5. Step 5: Solve for x
    x = 505,271.77/856.47
  6. Step 6: Final answer
    x = 589.95

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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.