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Finding the Fourth Proportional to 488.76, 729.12 and 453.84

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Solution

The fourth proportional to 488.76, 729.12 and 453.84 is: 677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.76 : 729.12 = 453.84 : x
  2. Step 2: Convert to fraction form
    488.76/729.12 = 453.84/x
  3. Step 3: Cross multiply
    488.76x = 729.12 × 453.84
  4. Step 4: Simplify right side
    488.76x = 330,903.82
  5. Step 5: Solve for x
    x = 330,903.82/488.76
  6. Step 6: Final answer
    x = 677.03

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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.