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Finding the Fourth Proportional to 615.63, 923.58 and 342.12

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Solution

The fourth proportional to 615.63, 923.58 and 342.12 is: 513.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.63 : 923.58 = 342.12 : x
  2. Step 2: Convert to fraction form
    615.63/923.58 = 342.12/x
  3. Step 3: Cross multiply
    615.63x = 923.58 × 342.12
  4. Step 4: Simplify right side
    615.63x = 315,975.19
  5. Step 5: Solve for x
    x = 315,975.19/615.63
  6. Step 6: Final answer
    x = 513.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.