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Finding the Fourth Proportional to 653.59, 900.83 and 622.83

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Solution

The fourth proportional to 653.59, 900.83 and 622.83 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.59 : 900.83 = 622.83 : x
  2. Step 2: Convert to fraction form
    653.59/900.83 = 622.83/x
  3. Step 3: Cross multiply
    653.59x = 900.83 × 622.83
  4. Step 4: Simplify right side
    653.59x = 561,060.83
  5. Step 5: Solve for x
    x = 561,060.83/653.59
  6. Step 6: Final answer
    x = 858.44

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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.