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Finding the Fourth Proportional to 1,652.36, 2,477.08 and 677.84

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Solution

The fourth proportional to 1,652.36, 2,477.08 and 677.84 is: 1,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.36 : 2,477.08 = 677.84 : x
  2. Step 2: Convert to fraction form
    1,652.36/2,477.08 = 677.84/x
  3. Step 3: Cross multiply
    1,652.36x = 2,477.08 × 677.84
  4. Step 4: Simplify right side
    1,652.36x = 1,679,063.91
  5. Step 5: Solve for x
    x = 1,679,063.91/1,652.36
  6. Step 6: Final answer
    x = 1,016.16

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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.