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Finding the Fourth Proportional to 614.12, 919.98 and 289.08

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Solution

The fourth proportional to 614.12, 919.98 and 289.08 is: 433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.12 : 919.98 = 289.08 : x
  2. Step 2: Convert to fraction form
    614.12/919.98 = 289.08/x
  3. Step 3: Cross multiply
    614.12x = 919.98 × 289.08
  4. Step 4: Simplify right side
    614.12x = 265,947.82
  5. Step 5: Solve for x
    x = 265,947.82/614.12
  6. Step 6: Final answer
    x = 433.06

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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.