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Finding the Fourth Proportional to 930.78, 1,396.13 and 564.80

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Solution

The fourth proportional to 930.78, 1,396.13 and 564.80 is: 847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,396.13 = 564.80 : x
  2. Step 2: Convert to fraction form
    930.78/1,396.13 = 564.80/x
  3. Step 3: Cross multiply
    930.78x = 1,396.13 × 564.80
  4. Step 4: Simplify right side
    930.78x = 788,524.42
  5. Step 5: Solve for x
    x = 788,524.42/930.78
  6. Step 6: Final answer
    x = 847.17

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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.