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Finding the Fourth Proportional to 1,407.56, 2,109.06 and 858.08

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Solution

The fourth proportional to 1,407.56, 2,109.06 and 858.08 is: 1,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.56 : 2,109.06 = 858.08 : x
  2. Step 2: Convert to fraction form
    1,407.56/2,109.06 = 858.08/x
  3. Step 3: Cross multiply
    1,407.56x = 2,109.06 × 858.08
  4. Step 4: Simplify right side
    1,407.56x = 1,809,742.20
  5. Step 5: Solve for x
    x = 1,809,742.20/1,407.56
  6. Step 6: Final answer
    x = 1,285.73

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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.