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Finding the Fourth Proportional to 653.76, 979.74 and 361.08

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Solution

The fourth proportional to 653.76, 979.74 and 361.08 is: 541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.76 : 979.74 = 361.08 : x
  2. Step 2: Convert to fraction form
    653.76/979.74 = 361.08/x
  3. Step 3: Cross multiply
    653.76x = 979.74 × 361.08
  4. Step 4: Simplify right side
    653.76x = 353,764.52
  5. Step 5: Solve for x
    x = 353,764.52/653.76
  6. Step 6: Final answer
    x = 541.12

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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.