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Finding the Fourth Proportional to 612.90, 919.64 and 288.22

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Solution

The fourth proportional to 612.90, 919.64 and 288.22 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.90 : 919.64 = 288.22 : x
  2. Step 2: Convert to fraction form
    612.90/919.64 = 288.22/x
  3. Step 3: Cross multiply
    612.90x = 919.64 × 288.22
  4. Step 4: Simplify right side
    612.90x = 265,058.64
  5. Step 5: Solve for x
    x = 265,058.64/612.90
  6. Step 6: Final answer
    x = 432.47

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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.