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Finding the Fourth Proportional to 919.17, 1,378.08 and 302.52

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Solution

The fourth proportional to 919.17, 1,378.08 and 302.52 is: 453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.17 : 1,378.08 = 302.52 : x
  2. Step 2: Convert to fraction form
    919.17/1,378.08 = 302.52/x
  3. Step 3: Cross multiply
    919.17x = 1,378.08 × 302.52
  4. Step 4: Simplify right side
    919.17x = 416,896.76
  5. Step 5: Solve for x
    x = 416,896.76/919.17
  6. Step 6: Final answer
    x = 453.56

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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.