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Finding the Fourth Proportional to 1,050.06, 1,574.46 and 896.04

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Solution

The fourth proportional to 1,050.06, 1,574.46 and 896.04 is: 1,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.06 : 1,574.46 = 896.04 : x
  2. Step 2: Convert to fraction form
    1,050.06/1,574.46 = 896.04/x
  3. Step 3: Cross multiply
    1,050.06x = 1,574.46 × 896.04
  4. Step 4: Simplify right side
    1,050.06x = 1,410,779.14
  5. Step 5: Solve for x
    x = 1,410,779.14/1,050.06
  6. Step 6: Final answer
    x = 1,343.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.