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Finding the Fourth Proportional to 930.43, 1,283.46 and 537.38

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Solution

The fourth proportional to 930.43, 1,283.46 and 537.38 is: 741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.43 : 1,283.46 = 537.38 : x
  2. Step 2: Convert to fraction form
    930.43/1,283.46 = 537.38/x
  3. Step 3: Cross multiply
    930.43x = 1,283.46 × 537.38
  4. Step 4: Simplify right side
    930.43x = 689,705.73
  5. Step 5: Solve for x
    x = 689,705.73/930.43
  6. Step 6: Final answer
    x = 741.28

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Double scale
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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.