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Finding the Fourth Proportional to 615.06, 921.36 and 289.44

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Solution

The fourth proportional to 615.06, 921.36 and 289.44 is: 433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.06 : 921.36 = 289.44 : x
  2. Step 2: Convert to fraction form
    615.06/921.36 = 289.44/x
  3. Step 3: Cross multiply
    615.06x = 921.36 × 289.44
  4. Step 4: Simplify right side
    615.06x = 266,673.83
  5. Step 5: Solve for x
    x = 266,673.83/615.06
  6. Step 6: Final answer
    x = 433.58

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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.