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Finding the Fourth Proportional to 1,263.10, 1,894.65 and 825.70

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Solution

The fourth proportional to 1,263.10, 1,894.65 and 825.70 is: 1,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.10 : 1,894.65 = 825.70 : x
  2. Step 2: Convert to fraction form
    1,263.10/1,894.65 = 825.70/x
  3. Step 3: Cross multiply
    1,263.10x = 1,894.65 × 825.70
  4. Step 4: Simplify right side
    1,263.10x = 1,564,412.51
  5. Step 5: Solve for x
    x = 1,564,412.51/1,263.10
  6. Step 6: Final answer
    x = 1,238.55

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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.