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Finding the Fourth Proportional to 1,714.32, 2,571.72 and 618.45

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Solution

The fourth proportional to 1,714.32, 2,571.72 and 618.45 is: 927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.32 : 2,571.72 = 618.45 : x
  2. Step 2: Convert to fraction form
    1,714.32/2,571.72 = 618.45/x
  3. Step 3: Cross multiply
    1,714.32x = 2,571.72 × 618.45
  4. Step 4: Simplify right side
    1,714.32x = 1,590,480.23
  5. Step 5: Solve for x
    x = 1,590,480.23/1,714.32
  6. Step 6: Final answer
    x = 927.76

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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.