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Finding the Fourth Proportional to 1,068.22, 1,474.59 and 719.11

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Solution

The fourth proportional to 1,068.22, 1,474.59 and 719.11 is: 992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.22 : 1,474.59 = 719.11 : x
  2. Step 2: Convert to fraction form
    1,068.22/1,474.59 = 719.11/x
  3. Step 3: Cross multiply
    1,068.22x = 1,474.59 × 719.11
  4. Step 4: Simplify right side
    1,068.22x = 1,060,392.41
  5. Step 5: Solve for x
    x = 1,060,392.41/1,068.22
  6. Step 6: Final answer
    x = 992.67

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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.