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Finding the Fourth Proportional to 653.67, 901.17 and 443.53

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Solution

The fourth proportional to 653.67, 901.17 and 443.53 is: 611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 901.17 = 443.53 : x
  2. Step 2: Convert to fraction form
    653.67/901.17 = 443.53/x
  3. Step 3: Cross multiply
    653.67x = 901.17 × 443.53
  4. Step 4: Simplify right side
    653.67x = 399,695.93
  5. Step 5: Solve for x
    x = 399,695.93/653.67
  6. Step 6: Final answer
    x = 611.46

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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.