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Finding the Fourth Proportional to 1,050.65, 1,450.06 and 801.50

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Solution

The fourth proportional to 1,050.65, 1,450.06 and 801.50 is: 1,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.65 : 1,450.06 = 801.50 : x
  2. Step 2: Convert to fraction form
    1,050.65/1,450.06 = 801.50/x
  3. Step 3: Cross multiply
    1,050.65x = 1,450.06 × 801.50
  4. Step 4: Simplify right side
    1,050.65x = 1,162,219.47
  5. Step 5: Solve for x
    x = 1,162,219.47/1,050.65
  6. Step 6: Final answer
    x = 1,106.20

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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.