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Finding the Fourth Proportional to 1,295.40, 1,787.58 and 847.38

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Solution

The fourth proportional to 1,295.40, 1,787.58 and 847.38 is: 1,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.40 : 1,787.58 = 847.38 : x
  2. Step 2: Convert to fraction form
    1,295.40/1,787.58 = 847.38/x
  3. Step 3: Cross multiply
    1,295.40x = 1,787.58 × 847.38
  4. Step 4: Simplify right side
    1,295.40x = 1,514,759.54
  5. Step 5: Solve for x
    x = 1,514,759.54/1,295.40
  6. Step 6: Final answer
    x = 1,169.34

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Double scale
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1.5x scale

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.