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Finding the Fourth Proportional to 653.51, 902.01 and 440.86

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Solution

The fourth proportional to 653.51, 902.01 and 440.86 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.51 : 902.01 = 440.86 : x
  2. Step 2: Convert to fraction form
    653.51/902.01 = 440.86/x
  3. Step 3: Cross multiply
    653.51x = 902.01 × 440.86
  4. Step 4: Simplify right side
    653.51x = 397,660.13
  5. Step 5: Solve for x
    x = 397,660.13/653.51
  6. Step 6: Final answer
    x = 608.50

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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.