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Finding the Fourth Proportional to 653.32, 901.24 and 456.49

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Solution

The fourth proportional to 653.32, 901.24 and 456.49 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.32 : 901.24 = 456.49 : x
  2. Step 2: Convert to fraction form
    653.32/901.24 = 456.49/x
  3. Step 3: Cross multiply
    653.32x = 901.24 × 456.49
  4. Step 4: Simplify right side
    653.32x = 411,407.05
  5. Step 5: Solve for x
    x = 411,407.05/653.32
  6. Step 6: Final answer
    x = 629.72

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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.