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Finding the Fourth Proportional to 1,456.08, 2,009.39 and 858.58

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Solution

The fourth proportional to 1,456.08, 2,009.39 and 858.58 is: 1,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.08 : 2,009.39 = 858.58 : x
  2. Step 2: Convert to fraction form
    1,456.08/2,009.39 = 858.58/x
  3. Step 3: Cross multiply
    1,456.08x = 2,009.39 × 858.58
  4. Step 4: Simplify right side
    1,456.08x = 1,725,212.75
  5. Step 5: Solve for x
    x = 1,725,212.75/1,456.08
  6. Step 6: Final answer
    x = 1,184.84

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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.