Home / 1,257.10-1,884.30-476.80

Finding the Fourth Proportional to 1,257.10, 1,884.30 and 476.80

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Solution

The fourth proportional to 1,257.10, 1,884.30 and 476.80 is: 714.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.10 : 1,884.30 = 476.80 : x
  2. Step 2: Convert to fraction form
    1,257.10/1,884.30 = 476.80/x
  3. Step 3: Cross multiply
    1,257.10x = 1,884.30 × 476.80
  4. Step 4: Simplify right side
    1,257.10x = 898,434.24
  5. Step 5: Solve for x
    x = 898,434.24/1,257.10
  6. Step 6: Final answer
    x = 714.69

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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.