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Finding the Fourth Proportional to 930.68, 1,283.28 and 697.40

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Solution

The fourth proportional to 930.68, 1,283.28 and 697.40 is: 961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.68 : 1,283.28 = 697.40 : x
  2. Step 2: Convert to fraction form
    930.68/1,283.28 = 697.40/x
  3. Step 3: Cross multiply
    930.68x = 1,283.28 × 697.40
  4. Step 4: Simplify right side
    930.68x = 894,959.47
  5. Step 5: Solve for x
    x = 894,959.47/930.68
  6. Step 6: Final answer
    x = 961.62

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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.