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Finding the Fourth Proportional to 657.63, 984.12 and 483.89

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Solution

The fourth proportional to 657.63, 984.12 and 483.89 is: 724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.63 : 984.12 = 483.89 : x
  2. Step 2: Convert to fraction form
    657.63/984.12 = 483.89/x
  3. Step 3: Cross multiply
    657.63x = 984.12 × 483.89
  4. Step 4: Simplify right side
    657.63x = 476,199.09
  5. Step 5: Solve for x
    x = 476,199.09/657.63
  6. Step 6: Final answer
    x = 724.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.