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Finding the Fourth Proportional to 982.76, 1,355.86 and 563.08

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Solution

The fourth proportional to 982.76, 1,355.86 and 563.08 is: 776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.76 : 1,355.86 = 563.08 : x
  2. Step 2: Convert to fraction form
    982.76/1,355.86 = 563.08/x
  3. Step 3: Cross multiply
    982.76x = 1,355.86 × 563.08
  4. Step 4: Simplify right side
    982.76x = 763,457.65
  5. Step 5: Solve for x
    x = 763,457.65/982.76
  6. Step 6: Final answer
    x = 776.85

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Double scale
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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.