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Finding the Fourth Proportional to 858.95, 1,288.61 and 273.95

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Solution

The fourth proportional to 858.95, 1,288.61 and 273.95 is: 410.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.95 : 1,288.61 = 273.95 : x
  2. Step 2: Convert to fraction form
    858.95/1,288.61 = 273.95/x
  3. Step 3: Cross multiply
    858.95x = 1,288.61 × 273.95
  4. Step 4: Simplify right side
    858.95x = 353,008.95
  5. Step 5: Solve for x
    x = 353,008.95/858.95
  6. Step 6: Final answer
    x = 410.98

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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.