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Finding the Fourth Proportional to 1,256.85, 1,885.12 and 332.49

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Solution

The fourth proportional to 1,256.85, 1,885.12 and 332.49 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.85 : 1,885.12 = 332.49 : x
  2. Step 2: Convert to fraction form
    1,256.85/1,885.12 = 332.49/x
  3. Step 3: Cross multiply
    1,256.85x = 1,885.12 × 332.49
  4. Step 4: Simplify right side
    1,256.85x = 626,783.55
  5. Step 5: Solve for x
    x = 626,783.55/1,256.85
  6. Step 6: Final answer
    x = 498.69

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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.