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Finding the Fourth Proportional to 1,294.54, 1,786.40 and 705.08

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Solution

The fourth proportional to 1,294.54, 1,786.40 and 705.08 is: 972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.54 : 1,786.40 = 705.08 : x
  2. Step 2: Convert to fraction form
    1,294.54/1,786.40 = 705.08/x
  3. Step 3: Cross multiply
    1,294.54x = 1,786.40 × 705.08
  4. Step 4: Simplify right side
    1,294.54x = 1,259,554.91
  5. Step 5: Solve for x
    x = 1,259,554.91/1,294.54
  6. Step 6: Final answer
    x = 972.97

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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.