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Finding the Fourth Proportional to 553.66, 830.05 and 379.89

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Solution

The fourth proportional to 553.66, 830.05 and 379.89 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.66 : 830.05 = 379.89 : x
  2. Step 2: Convert to fraction form
    553.66/830.05 = 379.89/x
  3. Step 3: Cross multiply
    553.66x = 830.05 × 379.89
  4. Step 4: Simplify right side
    553.66x = 315,326.74
  5. Step 5: Solve for x
    x = 315,326.74/553.66
  6. Step 6: Final answer
    x = 569.53

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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.