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Finding the Fourth Proportional to 653.14, 900.85 and 419.86

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Solution

The fourth proportional to 653.14, 900.85 and 419.86 is: 579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 900.85 = 419.86 : x
  2. Step 2: Convert to fraction form
    653.14/900.85 = 419.86/x
  3. Step 3: Cross multiply
    653.14x = 900.85 × 419.86
  4. Step 4: Simplify right side
    653.14x = 378,230.88
  5. Step 5: Solve for x
    x = 378,230.88/653.14
  6. Step 6: Final answer
    x = 579.10

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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.