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Finding the Fourth Proportional to 1,144.20, 1,714.88 and 596.08

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Solution

The fourth proportional to 1,144.20, 1,714.88 and 596.08 is: 893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.20 : 1,714.88 = 596.08 : x
  2. Step 2: Convert to fraction form
    1,144.20/1,714.88 = 596.08/x
  3. Step 3: Cross multiply
    1,144.20x = 1,714.88 × 596.08
  4. Step 4: Simplify right side
    1,144.20x = 1,022,205.67
  5. Step 5: Solve for x
    x = 1,022,205.67/1,144.20
  6. Step 6: Final answer
    x = 893.38

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1.5x scale

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.