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Finding the Fourth Proportional to 615.79, 923.25 and 290.98

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Solution

The fourth proportional to 615.79, 923.25 and 290.98 is: 436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.79 : 923.25 = 290.98 : x
  2. Step 2: Convert to fraction form
    615.79/923.25 = 290.98/x
  3. Step 3: Cross multiply
    615.79x = 923.25 × 290.98
  4. Step 4: Simplify right side
    615.79x = 268,647.29
  5. Step 5: Solve for x
    x = 268,647.29/615.79
  6. Step 6: Final answer
    x = 436.26

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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.