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Finding the Fourth Proportional to 1,256.52, 1,884.84 and 390.80

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Solution

The fourth proportional to 1,256.52, 1,884.84 and 390.80 is: 586.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.52 : 1,884.84 = 390.80 : x
  2. Step 2: Convert to fraction form
    1,256.52/1,884.84 = 390.80/x
  3. Step 3: Cross multiply
    1,256.52x = 1,884.84 × 390.80
  4. Step 4: Simplify right side
    1,256.52x = 736,595.47
  5. Step 5: Solve for x
    x = 736,595.47/1,256.52
  6. Step 6: Final answer
    x = 586.22

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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.