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Finding the Fourth Proportional to 930.42, 1,393.83 and 496.98

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Solution

The fourth proportional to 930.42, 1,393.83 and 496.98 is: 744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,393.83 = 496.98 : x
  2. Step 2: Convert to fraction form
    930.42/1,393.83 = 496.98/x
  3. Step 3: Cross multiply
    930.42x = 1,393.83 × 496.98
  4. Step 4: Simplify right side
    930.42x = 692,705.63
  5. Step 5: Solve for x
    x = 692,705.63/930.42
  6. Step 6: Final answer
    x = 744.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.