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Finding the Fourth Proportional to 412.83, 616.23 and 384.30

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Solution

The fourth proportional to 412.83, 616.23 and 384.30 is: 573.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 616.23 = 384.30 : x
  2. Step 2: Convert to fraction form
    412.83/616.23 = 384.30/x
  3. Step 3: Cross multiply
    412.83x = 616.23 × 384.30
  4. Step 4: Simplify right side
    412.83x = 236,817.19
  5. Step 5: Solve for x
    x = 236,817.19/412.83
  6. Step 6: Final answer
    x = 573.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.