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Finding the Fourth Proportional to 653.72, 901.87 and 487.94

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Solution

The fourth proportional to 653.72, 901.87 and 487.94 is: 673.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.72 : 901.87 = 487.94 : x
  2. Step 2: Convert to fraction form
    653.72/901.87 = 487.94/x
  3. Step 3: Cross multiply
    653.72x = 901.87 × 487.94
  4. Step 4: Simplify right side
    653.72x = 440,052.72
  5. Step 5: Solve for x
    x = 440,052.72/653.72
  6. Step 6: Final answer
    x = 673.16

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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.