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Finding the Fourth Proportional to 615.88, 923.14 and 307.65

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Solution

The fourth proportional to 615.88, 923.14 and 307.65 is: 461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.88 : 923.14 = 307.65 : x
  2. Step 2: Convert to fraction form
    615.88/923.14 = 307.65/x
  3. Step 3: Cross multiply
    615.88x = 923.14 × 307.65
  4. Step 4: Simplify right side
    615.88x = 284,004.02
  5. Step 5: Solve for x
    x = 284,004.02/615.88
  6. Step 6: Final answer
    x = 461.14

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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.