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Finding the Fourth Proportional to 612.52, 918.36 and 319.84

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Solution

The fourth proportional to 612.52, 918.36 and 319.84 is: 479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.52 : 918.36 = 319.84 : x
  2. Step 2: Convert to fraction form
    612.52/918.36 = 319.84/x
  3. Step 3: Cross multiply
    612.52x = 918.36 × 319.84
  4. Step 4: Simplify right side
    612.52x = 293,728.26
  5. Step 5: Solve for x
    x = 293,728.26/612.52
  6. Step 6: Final answer
    x = 479.54

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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.