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Finding the Fourth Proportional to 858.55, 1,287.93 and 273.35

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Solution

The fourth proportional to 858.55, 1,287.93 and 273.35 is: 410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.55 : 1,287.93 = 273.35 : x
  2. Step 2: Convert to fraction form
    858.55/1,287.93 = 273.35/x
  3. Step 3: Cross multiply
    858.55x = 1,287.93 × 273.35
  4. Step 4: Simplify right side
    858.55x = 352,056.98
  5. Step 5: Solve for x
    x = 352,056.98/858.55
  6. Step 6: Final answer
    x = 410.06

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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.