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Finding the Fourth Proportional to 653.76, 980.80 and 345.92

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Solution

The fourth proportional to 653.76, 980.80 and 345.92 is: 518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 980.80 = 345.92 : x
  2. Step 2: Convert to fraction form
    653.76/980.80 = 345.92/x
  3. Step 3: Cross multiply
    653.76x = 980.80 × 345.92
  4. Step 4: Simplify right side
    653.76x = 339,278.34
  5. Step 5: Solve for x
    x = 339,278.34/653.76
  6. Step 6: Final answer
    x = 518.96

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Double scale
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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.