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Finding the Fourth Proportional to 1,885.27, 2,828.06 and 652.18

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Solution

The fourth proportional to 1,885.27, 2,828.06 and 652.18 is: 978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.27 : 2,828.06 = 652.18 : x
  2. Step 2: Convert to fraction form
    1,885.27/2,828.06 = 652.18/x
  3. Step 3: Cross multiply
    1,885.27x = 2,828.06 × 652.18
  4. Step 4: Simplify right side
    1,885.27x = 1,844,404.17
  5. Step 5: Solve for x
    x = 1,844,404.17/1,885.27
  6. Step 6: Final answer
    x = 978.32

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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.