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Finding the Fourth Proportional to 453.60, 676.08 and 430.47

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Solution

The fourth proportional to 453.60, 676.08 and 430.47 is: 641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.60 : 676.08 = 430.47 : x
  2. Step 2: Convert to fraction form
    453.60/676.08 = 430.47/x
  3. Step 3: Cross multiply
    453.60x = 676.08 × 430.47
  4. Step 4: Simplify right side
    453.60x = 291,032.16
  5. Step 5: Solve for x
    x = 291,032.16/453.60
  6. Step 6: Final answer
    x = 641.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.