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Finding the Fourth Proportional to 1,669, 2,303.22 and 970.78

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Solution

The fourth proportional to 1,669, 2,303.22 and 970.78 is: 1,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669 : 2,303.22 = 970.78 : x
  2. Step 2: Convert to fraction form
    1,669/2,303.22 = 970.78/x
  3. Step 3: Cross multiply
    1,669x = 2,303.22 × 970.78
  4. Step 4: Simplify right side
    1,669x = 2,235,919.91
  5. Step 5: Solve for x
    x = 2,235,919.91/1,669
  6. Step 6: Final answer
    x = 1,339.68

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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.