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Finding the Fourth Proportional to 1,294.75, 1,786.71 and 705.25

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Solution

The fourth proportional to 1,294.75, 1,786.71 and 705.25 is: 973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.75 : 1,786.71 = 705.25 : x
  2. Step 2: Convert to fraction form
    1,294.75/1,786.71 = 705.25/x
  3. Step 3: Cross multiply
    1,294.75x = 1,786.71 × 705.25
  4. Step 4: Simplify right side
    1,294.75x = 1,260,077.23
  5. Step 5: Solve for x
    x = 1,260,077.23/1,294.75
  6. Step 6: Final answer
    x = 973.22

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Half scale
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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.