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Finding the Fourth Proportional to 1,260.25, 1,890.40 and 708.49

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Solution

The fourth proportional to 1,260.25, 1,890.40 and 708.49 is: 1,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.25 : 1,890.40 = 708.49 : x
  2. Step 2: Convert to fraction form
    1,260.25/1,890.40 = 708.49/x
  3. Step 3: Cross multiply
    1,260.25x = 1,890.40 × 708.49
  4. Step 4: Simplify right side
    1,260.25x = 1,339,329.50
  5. Step 5: Solve for x
    x = 1,339,329.50/1,260.25
  6. Step 6: Final answer
    x = 1,062.75

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1.5x scale

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.