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Finding the Fourth Proportional to 653.02, 979.07 and 306.17

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Solution

The fourth proportional to 653.02, 979.07 and 306.17 is: 459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.02 : 979.07 = 306.17 : x
  2. Step 2: Convert to fraction form
    653.02/979.07 = 306.17/x
  3. Step 3: Cross multiply
    653.02x = 979.07 × 306.17
  4. Step 4: Simplify right side
    653.02x = 299,761.86
  5. Step 5: Solve for x
    x = 299,761.86/653.02
  6. Step 6: Final answer
    x = 459.04

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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.