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Finding the Fourth Proportional to 1,256.57, 1,884.78 and 487.07

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Solution

The fourth proportional to 1,256.57, 1,884.78 and 487.07 is: 730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.57 : 1,884.78 = 487.07 : x
  2. Step 2: Convert to fraction form
    1,256.57/1,884.78 = 487.07/x
  3. Step 3: Cross multiply
    1,256.57x = 1,884.78 × 487.07
  4. Step 4: Simplify right side
    1,256.57x = 918,010.37
  5. Step 5: Solve for x
    x = 918,010.37/1,256.57
  6. Step 6: Final answer
    x = 730.57

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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.