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Finding the Fourth Proportional to 653.63, 902.00 and 354.87

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Solution

The fourth proportional to 653.63, 902.00 and 354.87 is: 489.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 902.00 = 354.87 : x
  2. Step 2: Convert to fraction form
    653.63/902.00 = 354.87/x
  3. Step 3: Cross multiply
    653.63x = 902.00 × 354.87
  4. Step 4: Simplify right side
    653.63x = 320,091.37
  5. Step 5: Solve for x
    x = 320,091.37/653.63
  6. Step 6: Final answer
    x = 489.72

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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.