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Finding the Fourth Proportional to 488.60, 733.35 and 403.85

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Solution

The fourth proportional to 488.60, 733.35 and 403.85 is: 606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.60 : 733.35 = 403.85 : x
  2. Step 2: Convert to fraction form
    488.60/733.35 = 403.85/x
  3. Step 3: Cross multiply
    488.60x = 733.35 × 403.85
  4. Step 4: Simplify right side
    488.60x = 296,166.75
  5. Step 5: Solve for x
    x = 296,166.75/488.60
  6. Step 6: Final answer
    x = 606.16

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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.