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Finding the Fourth Proportional to 930.05, 1,283.33 and 556.95

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Solution

The fourth proportional to 930.05, 1,283.33 and 556.95 is: 768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.05 : 1,283.33 = 556.95 : x
  2. Step 2: Convert to fraction form
    930.05/1,283.33 = 556.95/x
  3. Step 3: Cross multiply
    930.05x = 1,283.33 × 556.95
  4. Step 4: Simplify right side
    930.05x = 714,741.44
  5. Step 5: Solve for x
    x = 714,741.44/930.05
  6. Step 6: Final answer
    x = 768.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.