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Finding the Fourth Proportional to 910.38, 1,257.21 and 778.62

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Solution

The fourth proportional to 910.38, 1,257.21 and 778.62 is: 1,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.38 : 1,257.21 = 778.62 : x
  2. Step 2: Convert to fraction form
    910.38/1,257.21 = 778.62/x
  3. Step 3: Cross multiply
    910.38x = 1,257.21 × 778.62
  4. Step 4: Simplify right side
    910.38x = 978,888.85
  5. Step 5: Solve for x
    x = 978,888.85/910.38
  6. Step 6: Final answer
    x = 1,075.25

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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.