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Finding the Fourth Proportional to 930.39, 1,395.49 and 467.98

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Solution

The fourth proportional to 930.39, 1,395.49 and 467.98 is: 701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.39 : 1,395.49 = 467.98 : x
  2. Step 2: Convert to fraction form
    930.39/1,395.49 = 467.98/x
  3. Step 3: Cross multiply
    930.39x = 1,395.49 × 467.98
  4. Step 4: Simplify right side
    930.39x = 653,055.58
  5. Step 5: Solve for x
    x = 653,055.58/930.39
  6. Step 6: Final answer
    x = 701.92

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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.