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Finding the Fourth Proportional to 1,256.59, 1,884.20 and 434.80

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Solution

The fourth proportional to 1,256.59, 1,884.20 and 434.80 is: 651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.59 : 1,884.20 = 434.80 : x
  2. Step 2: Convert to fraction form
    1,256.59/1,884.20 = 434.80/x
  3. Step 3: Cross multiply
    1,256.59x = 1,884.20 × 434.80
  4. Step 4: Simplify right side
    1,256.59x = 819,240.74
  5. Step 5: Solve for x
    x = 819,240.74/1,256.59
  6. Step 6: Final answer
    x = 651.96

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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.