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Finding the Fourth Proportional to 730.95, 1,097 and 384.48

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Solution

The fourth proportional to 730.95, 1,097 and 384.48 is: 577.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.95 : 1,097 = 384.48 : x
  2. Step 2: Convert to fraction form
    730.95/1,097 = 384.48/x
  3. Step 3: Cross multiply
    730.95x = 1,097 × 384.48
  4. Step 4: Simplify right side
    730.95x = 421,774.56
  5. Step 5: Solve for x
    x = 421,774.56/730.95
  6. Step 6: Final answer
    x = 577.03

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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.