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Finding the Fourth Proportional to 1,155.34, 1,732.74 and 385.84

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Solution

The fourth proportional to 1,155.34, 1,732.74 and 385.84 is: 578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.34 : 1,732.74 = 385.84 : x
  2. Step 2: Convert to fraction form
    1,155.34/1,732.74 = 385.84/x
  3. Step 3: Cross multiply
    1,155.34x = 1,732.74 × 385.84
  4. Step 4: Simplify right side
    1,155.34x = 668,560.40
  5. Step 5: Solve for x
    x = 668,560.40/1,155.34
  6. Step 6: Final answer
    x = 578.67

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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.