Home / 1,631.60-2,447.54-461.61

Finding the Fourth Proportional to 1,631.60, 2,447.54 and 461.61

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Solution

The fourth proportional to 1,631.60, 2,447.54 and 461.61 is: 692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.60 : 2,447.54 = 461.61 : x
  2. Step 2: Convert to fraction form
    1,631.60/2,447.54 = 461.61/x
  3. Step 3: Cross multiply
    1,631.60x = 2,447.54 × 461.61
  4. Step 4: Simplify right side
    1,631.60x = 1,129,808.94
  5. Step 5: Solve for x
    x = 1,129,808.94/1,631.60
  6. Step 6: Final answer
    x = 692.45

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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.