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Finding the Fourth Proportional to 930.78, 1,395.63 and 352.98

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Solution

The fourth proportional to 930.78, 1,395.63 and 352.98 is: 529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,395.63 = 352.98 : x
  2. Step 2: Convert to fraction form
    930.78/1,395.63 = 352.98/x
  3. Step 3: Cross multiply
    930.78x = 1,395.63 × 352.98
  4. Step 4: Simplify right side
    930.78x = 492,629.48
  5. Step 5: Solve for x
    x = 492,629.48/930.78
  6. Step 6: Final answer
    x = 529.27

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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.