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Finding the Fourth Proportional to 602.48, 832.56 and 454.86

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Solution

The fourth proportional to 602.48, 832.56 and 454.86 is: 628.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.48 : 832.56 = 454.86 : x
  2. Step 2: Convert to fraction form
    602.48/832.56 = 454.86/x
  3. Step 3: Cross multiply
    602.48x = 832.56 × 454.86
  4. Step 4: Simplify right side
    602.48x = 378,698.24
  5. Step 5: Solve for x
    x = 378,698.24/602.48
  6. Step 6: Final answer
    x = 628.57

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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.