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Finding the Fourth Proportional to 610.82, 916.53 and 379.64

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Solution

The fourth proportional to 610.82, 916.53 and 379.64 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.82 : 916.53 = 379.64 : x
  2. Step 2: Convert to fraction form
    610.82/916.53 = 379.64/x
  3. Step 3: Cross multiply
    610.82x = 916.53 × 379.64
  4. Step 4: Simplify right side
    610.82x = 347,951.45
  5. Step 5: Solve for x
    x = 347,951.45/610.82
  6. Step 6: Final answer
    x = 569.65

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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.