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Finding the Fourth Proportional to 930.83, 1,284.56 and 511.17

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Solution

The fourth proportional to 930.83, 1,284.56 and 511.17 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.83 : 1,284.56 = 511.17 : x
  2. Step 2: Convert to fraction form
    930.83/1,284.56 = 511.17/x
  3. Step 3: Cross multiply
    930.83x = 1,284.56 × 511.17
  4. Step 4: Simplify right side
    930.83x = 656,628.54
  5. Step 5: Solve for x
    x = 656,628.54/930.83
  6. Step 6: Final answer
    x = 705.42

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1.5x scale

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.