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Finding the Fourth Proportional to 1,356.51, 2,034.77 and 382.62

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Solution

The fourth proportional to 1,356.51, 2,034.77 and 382.62 is: 573.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.51 : 2,034.77 = 382.62 : x
  2. Step 2: Convert to fraction form
    1,356.51/2,034.77 = 382.62/x
  3. Step 3: Cross multiply
    1,356.51x = 2,034.77 × 382.62
  4. Step 4: Simplify right side
    1,356.51x = 778,543.70
  5. Step 5: Solve for x
    x = 778,543.70/1,356.51
  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.