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Finding the Fourth Proportional to 653.67, 901.76 and 404.90

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Solution

The fourth proportional to 653.67, 901.76 and 404.90 is: 558.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.67 : 901.76 = 404.90 : x
  2. Step 2: Convert to fraction form
    653.67/901.76 = 404.90/x
  3. Step 3: Cross multiply
    653.67x = 901.76 × 404.90
  4. Step 4: Simplify right side
    653.67x = 365,122.62
  5. Step 5: Solve for x
    x = 365,122.62/653.67
  6. Step 6: Final answer
    x = 558.57

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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.