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Finding the Fourth Proportional to 1,071.50, 1,478.76 and 678.83

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Solution

The fourth proportional to 1,071.50, 1,478.76 and 678.83 is: 936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.50 : 1,478.76 = 678.83 : x
  2. Step 2: Convert to fraction form
    1,071.50/1,478.76 = 678.83/x
  3. Step 3: Cross multiply
    1,071.50x = 1,478.76 × 678.83
  4. Step 4: Simplify right side
    1,071.50x = 1,003,826.65
  5. Step 5: Solve for x
    x = 1,003,826.65/1,071.50
  6. Step 6: Final answer
    x = 936.84

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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.