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Finding the Fourth Proportional to 1,714.68, 2,571.84 and 618.72

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Solution

The fourth proportional to 1,714.68, 2,571.84 and 618.72 is: 928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.68 : 2,571.84 = 618.72 : x
  2. Step 2: Convert to fraction form
    1,714.68/2,571.84 = 618.72/x
  3. Step 3: Cross multiply
    1,714.68x = 2,571.84 × 618.72
  4. Step 4: Simplify right side
    1,714.68x = 1,591,248.84
  5. Step 5: Solve for x
    x = 1,591,248.84/1,714.68
  6. Step 6: Final answer
    x = 928.02

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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.