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Finding the Fourth Proportional to 1,356.70, 2,035.02 and 382.76

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Solution

The fourth proportional to 1,356.70, 2,035.02 and 382.76 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.70 : 2,035.02 = 382.76 : x
  2. Step 2: Convert to fraction form
    1,356.70/2,035.02 = 382.76/x
  3. Step 3: Cross multiply
    1,356.70x = 2,035.02 × 382.76
  4. Step 4: Simplify right side
    1,356.70x = 778,924.26
  5. Step 5: Solve for x
    x = 778,924.26/1,356.70
  6. Step 6: Final answer
    x = 574.13

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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.