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Finding the Fourth Proportional to 612.81, 919.01 and 300.24

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Solution

The fourth proportional to 612.81, 919.01 and 300.24 is: 450.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 919.01 = 300.24 : x
  2. Step 2: Convert to fraction form
    612.81/919.01 = 300.24/x
  3. Step 3: Cross multiply
    612.81x = 919.01 × 300.24
  4. Step 4: Simplify right side
    612.81x = 275,924.31
  5. Step 5: Solve for x
    x = 275,924.31/612.81
  6. Step 6: Final answer
    x = 450.26

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1.5x scale

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.