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Finding the Fourth Proportional to 615.33, 920.83 and 384.33

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Solution

The fourth proportional to 615.33, 920.83 and 384.33 is: 575.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.33 : 920.83 = 384.33 : x
  2. Step 2: Convert to fraction form
    615.33/920.83 = 384.33/x
  3. Step 3: Cross multiply
    615.33x = 920.83 × 384.33
  4. Step 4: Simplify right side
    615.33x = 353,899.55
  5. Step 5: Solve for x
    x = 353,899.55/615.33
  6. Step 6: Final answer
    x = 575.14

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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.