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Finding the Fourth Proportional to 930.38, 1,283.94 and 510.73

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Solution

The fourth proportional to 930.38, 1,283.94 and 510.73 is: 704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.38 : 1,283.94 = 510.73 : x
  2. Step 2: Convert to fraction form
    930.38/1,283.94 = 510.73/x
  3. Step 3: Cross multiply
    930.38x = 1,283.94 × 510.73
  4. Step 4: Simplify right side
    930.38x = 655,740.26
  5. Step 5: Solve for x
    x = 655,740.26/930.38
  6. Step 6: Final answer
    x = 704.81

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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.