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Finding the Fourth Proportional to 653.01, 900.96 and 369.39

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Solution

The fourth proportional to 653.01, 900.96 and 369.39 is: 509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.01 : 900.96 = 369.39 : x
  2. Step 2: Convert to fraction form
    653.01/900.96 = 369.39/x
  3. Step 3: Cross multiply
    653.01x = 900.96 × 369.39
  4. Step 4: Simplify right side
    653.01x = 332,805.61
  5. Step 5: Solve for x
    x = 332,805.61/653.01
  6. Step 6: Final answer
    x = 509.65

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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.