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Finding the Fourth Proportional to 1,075.18, 1,612.78 and 381.86

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Solution

The fourth proportional to 1,075.18, 1,612.78 and 381.86 is: 572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.18 : 1,612.78 = 381.86 : x
  2. Step 2: Convert to fraction form
    1,075.18/1,612.78 = 381.86/x
  3. Step 3: Cross multiply
    1,075.18x = 1,612.78 × 381.86
  4. Step 4: Simplify right side
    1,075.18x = 615,856.17
  5. Step 5: Solve for x
    x = 615,856.17/1,075.18
  6. Step 6: Final answer
    x = 572.79

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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.