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Finding the Fourth Proportional to 1,263.22, 1,894.84 and 646.59

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Solution

The fourth proportional to 1,263.22, 1,894.84 and 646.59 is: 969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.22 : 1,894.84 = 646.59 : x
  2. Step 2: Convert to fraction form
    1,263.22/1,894.84 = 646.59/x
  3. Step 3: Cross multiply
    1,263.22x = 1,894.84 × 646.59
  4. Step 4: Simplify right side
    1,263.22x = 1,225,179.28
  5. Step 5: Solve for x
    x = 1,225,179.28/1,263.22
  6. Step 6: Final answer
    x = 969.89

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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.