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Finding the Fourth Proportional to 653.42, 982.14 and 608.30

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Solution

The fourth proportional to 653.42, 982.14 and 608.30 is: 914.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.42 : 982.14 = 608.30 : x
  2. Step 2: Convert to fraction form
    653.42/982.14 = 608.30/x
  3. Step 3: Cross multiply
    653.42x = 982.14 × 608.30
  4. Step 4: Simplify right side
    653.42x = 597,435.76
  5. Step 5: Solve for x
    x = 597,435.76/653.42
  6. Step 6: Final answer
    x = 914.32

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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.