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Finding the Fourth Proportional to 930.89, 1,395.23 and 382.93

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Solution

The fourth proportional to 930.89, 1,395.23 and 382.93 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.89 : 1,395.23 = 382.93 : x
  2. Step 2: Convert to fraction form
    930.89/1,395.23 = 382.93/x
  3. Step 3: Cross multiply
    930.89x = 1,395.23 × 382.93
  4. Step 4: Simplify right side
    930.89x = 534,270.02
  5. Step 5: Solve for x
    x = 534,270.02/930.89
  6. Step 6: Final answer
    x = 573.93

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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.