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Finding the Fourth Proportional to 1,479.63, 2,041.91 and 816.47

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Solution

The fourth proportional to 1,479.63, 2,041.91 and 816.47 is: 1,126.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.63 : 2,041.91 = 816.47 : x
  2. Step 2: Convert to fraction form
    1,479.63/2,041.91 = 816.47/x
  3. Step 3: Cross multiply
    1,479.63x = 2,041.91 × 816.47
  4. Step 4: Simplify right side
    1,479.63x = 1,667,160.43
  5. Step 5: Solve for x
    x = 1,667,160.43/1,479.63
  6. Step 6: Final answer
    x = 1,126.74

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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.