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Finding the Fourth Proportional to 1,259.31, 1,887.04 and 528.49

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Solution

The fourth proportional to 1,259.31, 1,887.04 and 528.49 is: 791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.31 : 1,887.04 = 528.49 : x
  2. Step 2: Convert to fraction form
    1,259.31/1,887.04 = 528.49/x
  3. Step 3: Cross multiply
    1,259.31x = 1,887.04 × 528.49
  4. Step 4: Simplify right side
    1,259.31x = 997,277.05
  5. Step 5: Solve for x
    x = 997,277.05/1,259.31
  6. Step 6: Final answer
    x = 791.92

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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.