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Finding the Fourth Proportional to 1,077.95, 1,616.01 and 384.41

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Solution

The fourth proportional to 1,077.95, 1,616.01 and 384.41 is: 576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.95 : 1,616.01 = 384.41 : x
  2. Step 2: Convert to fraction form
    1,077.95/1,616.01 = 384.41/x
  3. Step 3: Cross multiply
    1,077.95x = 1,616.01 × 384.41
  4. Step 4: Simplify right side
    1,077.95x = 621,210.40
  5. Step 5: Solve for x
    x = 621,210.40/1,077.95
  6. Step 6: Final answer
    x = 576.29

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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.