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Finding the Fourth Proportional to 615.08, 922.74 and 290.48

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Solution

The fourth proportional to 615.08, 922.74 and 290.48 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.08 : 922.74 = 290.48 : x
  2. Step 2: Convert to fraction form
    615.08/922.74 = 290.48/x
  3. Step 3: Cross multiply
    615.08x = 922.74 × 290.48
  4. Step 4: Simplify right side
    615.08x = 268,037.52
  5. Step 5: Solve for x
    x = 268,037.52/615.08
  6. Step 6: Final answer
    x = 435.78

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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.