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Finding the Fourth Proportional to 980.75, 1,354.25 and 632.05

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Solution

The fourth proportional to 980.75, 1,354.25 and 632.05 is: 872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.75 : 1,354.25 = 632.05 : x
  2. Step 2: Convert to fraction form
    980.75/1,354.25 = 632.05/x
  3. Step 3: Cross multiply
    980.75x = 1,354.25 × 632.05
  4. Step 4: Simplify right side
    980.75x = 855,953.71
  5. Step 5: Solve for x
    x = 855,953.71/980.75
  6. Step 6: Final answer
    x = 872.75

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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.