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Finding the Fourth Proportional to 652.25, 978.38 and 435.98

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Solution

The fourth proportional to 652.25, 978.38 and 435.98 is: 653.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.25 : 978.38 = 435.98 : x
  2. Step 2: Convert to fraction form
    652.25/978.38 = 435.98/x
  3. Step 3: Cross multiply
    652.25x = 978.38 × 435.98
  4. Step 4: Simplify right side
    652.25x = 426,556.01
  5. Step 5: Solve for x
    x = 426,556.01/652.25
  6. Step 6: Final answer
    x = 653.97

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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.