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Finding the Fourth Proportional to 1,295.07, 1,787.14 and 705.61

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Solution

The fourth proportional to 1,295.07, 1,787.14 and 705.61 is: 973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.07 : 1,787.14 = 705.61 : x
  2. Step 2: Convert to fraction form
    1,295.07/1,787.14 = 705.61/x
  3. Step 3: Cross multiply
    1,295.07x = 1,787.14 × 705.61
  4. Step 4: Simplify right side
    1,295.07x = 1,261,020.27
  5. Step 5: Solve for x
    x = 1,261,020.27/1,295.07
  6. Step 6: Final answer
    x = 973.71

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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.