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Finding the Fourth Proportional to 653.39, 980.36 and 434.09

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Solution

The fourth proportional to 653.39, 980.36 and 434.09 is: 651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.39 : 980.36 = 434.09 : x
  2. Step 2: Convert to fraction form
    653.39/980.36 = 434.09/x
  3. Step 3: Cross multiply
    653.39x = 980.36 × 434.09
  4. Step 4: Simplify right side
    653.39x = 425,564.47
  5. Step 5: Solve for x
    x = 425,564.47/653.39
  6. Step 6: Final answer
    x = 651.32

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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.