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Finding the Fourth Proportional to 653.06, 978.22 and 490.52

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Solution

The fourth proportional to 653.06, 978.22 and 490.52 is: 734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.06 : 978.22 = 490.52 : x
  2. Step 2: Convert to fraction form
    653.06/978.22 = 490.52/x
  3. Step 3: Cross multiply
    653.06x = 978.22 × 490.52
  4. Step 4: Simplify right side
    653.06x = 479,836.47
  5. Step 5: Solve for x
    x = 479,836.47/653.06
  6. Step 6: Final answer
    x = 734.75

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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.