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Finding the Fourth Proportional to 930.51, 1,396.05 and 382.59

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Solution

The fourth proportional to 930.51, 1,396.05 and 382.59 is: 574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.51 : 1,396.05 = 382.59 : x
  2. Step 2: Convert to fraction form
    930.51/1,396.05 = 382.59/x
  3. Step 3: Cross multiply
    930.51x = 1,396.05 × 382.59
  4. Step 4: Simplify right side
    930.51x = 534,114.77
  5. Step 5: Solve for x
    x = 534,114.77/930.51
  6. Step 6: Final answer
    x = 574.00

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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.