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Finding the Fourth Proportional to 980.92, 1,353.58 and 561.14

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Solution

The fourth proportional to 980.92, 1,353.58 and 561.14 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.92 : 1,353.58 = 561.14 : x
  2. Step 2: Convert to fraction form
    980.92/1,353.58 = 561.14/x
  3. Step 3: Cross multiply
    980.92x = 1,353.58 × 561.14
  4. Step 4: Simplify right side
    980.92x = 759,547.88
  5. Step 5: Solve for x
    x = 759,547.88/980.92
  6. Step 6: Final answer
    x = 774.32

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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.