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Finding the Fourth Proportional to 1,114.95, 1,672.50 and 384.43

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Solution

The fourth proportional to 1,114.95, 1,672.50 and 384.43 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.95 : 1,672.50 = 384.43 : x
  2. Step 2: Convert to fraction form
    1,114.95/1,672.50 = 384.43/x
  3. Step 3: Cross multiply
    1,114.95x = 1,672.50 × 384.43
  4. Step 4: Simplify right side
    1,114.95x = 642,959.18
  5. Step 5: Solve for x
    x = 642,959.18/1,114.95
  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.