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Finding the Fourth Proportional to 553.67, 830.55 and 489.26

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Solution

The fourth proportional to 553.67, 830.55 and 489.26 is: 733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.67 : 830.55 = 489.26 : x
  2. Step 2: Convert to fraction form
    553.67/830.55 = 489.26/x
  3. Step 3: Cross multiply
    553.67x = 830.55 × 489.26
  4. Step 4: Simplify right side
    553.67x = 406,350.16
  5. Step 5: Solve for x
    x = 406,350.16/553.67
  6. Step 6: Final answer
    x = 733.92

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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.