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Finding the Fourth Proportional to 1,379.94, 1,904.28 and 750.48

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Solution

The fourth proportional to 1,379.94, 1,904.28 and 750.48 is: 1,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.94 : 1,904.28 = 750.48 : x
  2. Step 2: Convert to fraction form
    1,379.94/1,904.28 = 750.48/x
  3. Step 3: Cross multiply
    1,379.94x = 1,904.28 × 750.48
  4. Step 4: Simplify right side
    1,379.94x = 1,429,124.05
  5. Step 5: Solve for x
    x = 1,429,124.05/1,379.94
  6. Step 6: Final answer
    x = 1,035.64

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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.