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Finding the Fourth Proportional to 930.99, 1,284.70 and 511.33

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Solution

The fourth proportional to 930.99, 1,284.70 and 511.33 is: 705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.99 : 1,284.70 = 511.33 : x
  2. Step 2: Convert to fraction form
    930.99/1,284.70 = 511.33/x
  3. Step 3: Cross multiply
    930.99x = 1,284.70 × 511.33
  4. Step 4: Simplify right side
    930.99x = 656,905.65
  5. Step 5: Solve for x
    x = 656,905.65/930.99
  6. Step 6: Final answer
    x = 705.60

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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.