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Finding the Fourth Proportional to 1,075.50, 1,612.16 and 382

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Solution

The fourth proportional to 1,075.50, 1,612.16 and 382 is: 572.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.50 : 1,612.16 = 382 : x
  2. Step 2: Convert to fraction form
    1,075.50/1,612.16 = 382/x
  3. Step 3: Cross multiply
    1,075.50x = 1,612.16 × 382
  4. Step 4: Simplify right side
    1,075.50x = 615,845.12
  5. Step 5: Solve for x
    x = 615,845.12/1,075.50
  6. Step 6: Final answer
    x = 572.61

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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.