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Finding the Fourth Proportional to 653.37, 900.14 and 487.25

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Solution

The fourth proportional to 653.37, 900.14 and 487.25 is: 671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.37 : 900.14 = 487.25 : x
  2. Step 2: Convert to fraction form
    653.37/900.14 = 487.25/x
  3. Step 3: Cross multiply
    653.37x = 900.14 × 487.25
  4. Step 4: Simplify right side
    653.37x = 438,593.22
  5. Step 5: Solve for x
    x = 438,593.22/653.37
  6. Step 6: Final answer
    x = 671.28

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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.