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Finding the Fourth Proportional to 1,114.92, 1,671.36 and 384.33

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Solution

The fourth proportional to 1,114.92, 1,671.36 and 384.33 is: 576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.92 : 1,671.36 = 384.33 : x
  2. Step 2: Convert to fraction form
    1,114.92/1,671.36 = 384.33/x
  3. Step 3: Cross multiply
    1,114.92x = 1,671.36 × 384.33
  4. Step 4: Simplify right side
    1,114.92x = 642,353.79
  5. Step 5: Solve for x
    x = 642,353.79/1,114.92
  6. Step 6: Final answer
    x = 576.14

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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.