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Finding the Fourth Proportional to 653.52, 900.99 and 559.87

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Solution

The fourth proportional to 653.52, 900.99 and 559.87 is: 771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 900.99 = 559.87 : x
  2. Step 2: Convert to fraction form
    653.52/900.99 = 559.87/x
  3. Step 3: Cross multiply
    653.52x = 900.99 × 559.87
  4. Step 4: Simplify right side
    653.52x = 504,435.02
  5. Step 5: Solve for x
    x = 504,435.02/653.52
  6. Step 6: Final answer
    x = 771.87

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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.