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Finding the Fourth Proportional to 615.02, 922.05 and 419.51

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Solution

The fourth proportional to 615.02, 922.05 and 419.51 is: 628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.02 : 922.05 = 419.51 : x
  2. Step 2: Convert to fraction form
    615.02/922.05 = 419.51/x
  3. Step 3: Cross multiply
    615.02x = 922.05 × 419.51
  4. Step 4: Simplify right side
    615.02x = 386,811.50
  5. Step 5: Solve for x
    x = 386,811.50/615.02
  6. Step 6: Final answer
    x = 628.95

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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.