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Finding the Fourth Proportional to 485.28, 722.88 and 457.92

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Solution

The fourth proportional to 485.28, 722.88 and 457.92 is: 682.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.28 : 722.88 = 457.92 : x
  2. Step 2: Convert to fraction form
    485.28/722.88 = 457.92/x
  3. Step 3: Cross multiply
    485.28x = 722.88 × 457.92
  4. Step 4: Simplify right side
    485.28x = 331,021.21
  5. Step 5: Solve for x
    x = 331,021.21/485.28
  6. Step 6: Final answer
    x = 682.12

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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.