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Finding the Fourth Proportional to 619.19, 926.76 and 411.02

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Solution

The fourth proportional to 619.19, 926.76 and 411.02 is: 615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.19 : 926.76 = 411.02 : x
  2. Step 2: Convert to fraction form
    619.19/926.76 = 411.02/x
  3. Step 3: Cross multiply
    619.19x = 926.76 × 411.02
  4. Step 4: Simplify right side
    619.19x = 380,916.90
  5. Step 5: Solve for x
    x = 380,916.90/619.19
  6. Step 6: Final answer
    x = 615.19

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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.