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Finding the Fourth Proportional to 453.52, 683.20 and 430.88

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Solution

The fourth proportional to 453.52, 683.20 and 430.88 is: 649.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.52 : 683.20 = 430.88 : x
  2. Step 2: Convert to fraction form
    453.52/683.20 = 430.88/x
  3. Step 3: Cross multiply
    453.52x = 683.20 × 430.88
  4. Step 4: Simplify right side
    453.52x = 294,377.22
  5. Step 5: Solve for x
    x = 294,377.22/453.52
  6. Step 6: Final answer
    x = 649.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.