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Finding the Fourth Proportional to 553.61, 830.82 and 310.61

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Solution

The fourth proportional to 553.61, 830.82 and 310.61 is: 466.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.61 : 830.82 = 310.61 : x
  2. Step 2: Convert to fraction form
    553.61/830.82 = 310.61/x
  3. Step 3: Cross multiply
    553.61x = 830.82 × 310.61
  4. Step 4: Simplify right side
    553.61x = 258,061.00
  5. Step 5: Solve for x
    x = 258,061.00/553.61
  6. Step 6: Final answer
    x = 466.14

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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.