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Finding the Fourth Proportional to 930.92, 1,284.90 and 735.80

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Solution

The fourth proportional to 930.92, 1,284.90 and 735.80 is: 1,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,284.90 = 735.80 : x
  2. Step 2: Convert to fraction form
    930.92/1,284.90 = 735.80/x
  3. Step 3: Cross multiply
    930.92x = 1,284.90 × 735.80
  4. Step 4: Simplify right side
    930.92x = 945,429.42
  5. Step 5: Solve for x
    x = 945,429.42/930.92
  6. Step 6: Final answer
    x = 1,015.59

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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.