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Finding the Fourth Proportional to 2,704.32, 4,056.47 and 652.32

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Solution

The fourth proportional to 2,704.32, 4,056.47 and 652.32 is: 978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.32 : 4,056.47 = 652.32 : x
  2. Step 2: Convert to fraction form
    2,704.32/4,056.47 = 652.32/x
  3. Step 3: Cross multiply
    2,704.32x = 4,056.47 × 652.32
  4. Step 4: Simplify right side
    2,704.32x = 2,646,116.51
  5. Step 5: Solve for x
    x = 2,646,116.51/2,704.32
  6. Step 6: Final answer
    x = 978.48

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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.