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Finding the Fourth Proportional to 653.23, 900.96 and 404.68

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Solution

The fourth proportional to 653.23, 900.96 and 404.68 is: 558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.23 : 900.96 = 404.68 : x
  2. Step 2: Convert to fraction form
    653.23/900.96 = 404.68/x
  3. Step 3: Cross multiply
    653.23x = 900.96 × 404.68
  4. Step 4: Simplify right side
    653.23x = 364,600.49
  5. Step 5: Solve for x
    x = 364,600.49/653.23
  6. Step 6: Final answer
    x = 558.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.