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Finding the Fourth Proportional to 919.45, 1,268.83 and 526.47

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Solution

The fourth proportional to 919.45, 1,268.83 and 526.47 is: 726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.45 : 1,268.83 = 526.47 : x
  2. Step 2: Convert to fraction form
    919.45/1,268.83 = 526.47/x
  3. Step 3: Cross multiply
    919.45x = 1,268.83 × 526.47
  4. Step 4: Simplify right side
    919.45x = 668,000.93
  5. Step 5: Solve for x
    x = 668,000.93/919.45
  6. Step 6: Final answer
    x = 726.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.