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Finding the Fourth Proportional to 2,714.58, 4,071.88 and 662.58

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Solution

The fourth proportional to 2,714.58, 4,071.88 and 662.58 is: 993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.58 : 4,071.88 = 662.58 : x
  2. Step 2: Convert to fraction form
    2,714.58/4,071.88 = 662.58/x
  3. Step 3: Cross multiply
    2,714.58x = 4,071.88 × 662.58
  4. Step 4: Simplify right side
    2,714.58x = 2,697,946.25
  5. Step 5: Solve for x
    x = 2,697,946.25/2,714.58
  6. Step 6: Final answer
    x = 993.87

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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.