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Finding the Fourth Proportional to 1,114.64, 1,671.48 and 384.56

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Solution

The fourth proportional to 1,114.64, 1,671.48 and 384.56 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,671.48 = 384.56 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,671.48 = 384.56/x
  3. Step 3: Cross multiply
    1,114.64x = 1,671.48 × 384.56
  4. Step 4: Simplify right side
    1,114.64x = 642,784.35
  5. Step 5: Solve for x
    x = 642,784.35/1,114.64
  6. Step 6: Final answer
    x = 576.67

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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.