Home / 1,652.34-2,477.61-677.31

Finding the Fourth Proportional to 1,652.34, 2,477.61 and 677.31

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Solution

The fourth proportional to 1,652.34, 2,477.61 and 677.31 is: 1,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.34 : 2,477.61 = 677.31 : x
  2. Step 2: Convert to fraction form
    1,652.34/2,477.61 = 677.31/x
  3. Step 3: Cross multiply
    1,652.34x = 2,477.61 × 677.31
  4. Step 4: Simplify right side
    1,652.34x = 1,678,110.03
  5. Step 5: Solve for x
    x = 1,678,110.03/1,652.34
  6. Step 6: Final answer
    x = 1,015.60

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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.