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Finding the Fourth Proportional to 1,263.31, 1,894.46 and 569.95

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Solution

The fourth proportional to 1,263.31, 1,894.46 and 569.95 is: 854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.31 : 1,894.46 = 569.95 : x
  2. Step 2: Convert to fraction form
    1,263.31/1,894.46 = 569.95/x
  3. Step 3: Cross multiply
    1,263.31x = 1,894.46 × 569.95
  4. Step 4: Simplify right side
    1,263.31x = 1,079,744.63
  5. Step 5: Solve for x
    x = 1,079,744.63/1,263.31
  6. Step 6: Final answer
    x = 854.69

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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.