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Finding the Fourth Proportional to 612.91, 919.73 and 288.28

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Solution

The fourth proportional to 612.91, 919.73 and 288.28 is: 432.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.91 : 919.73 = 288.28 : x
  2. Step 2: Convert to fraction form
    612.91/919.73 = 288.28/x
  3. Step 3: Cross multiply
    612.91x = 919.73 × 288.28
  4. Step 4: Simplify right side
    612.91x = 265,138.32
  5. Step 5: Solve for x
    x = 265,138.32/612.91
  6. Step 6: Final answer
    x = 432.59

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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.