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Finding the Fourth Proportional to 612.99, 919.40 and 283.91

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Solution

The fourth proportional to 612.99, 919.40 and 283.91 is: 425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 919.40 = 283.91 : x
  2. Step 2: Convert to fraction form
    612.99/919.40 = 283.91/x
  3. Step 3: Cross multiply
    612.99x = 919.40 × 283.91
  4. Step 4: Simplify right side
    612.99x = 261,020.84
  5. Step 5: Solve for x
    x = 261,020.84/612.99
  6. Step 6: Final answer
    x = 425.82

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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.