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Finding the Fourth Proportional to 655.44, 902.64 and 653.46

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Solution

The fourth proportional to 655.44, 902.64 and 653.46 is: 899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.44 : 902.64 = 653.46 : x
  2. Step 2: Convert to fraction form
    655.44/902.64 = 653.46/x
  3. Step 3: Cross multiply
    655.44x = 902.64 × 653.46
  4. Step 4: Simplify right side
    655.44x = 589,839.13
  5. Step 5: Solve for x
    x = 589,839.13/655.44
  6. Step 6: Final answer
    x = 899.91

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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.