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Finding the Fourth Proportional to 1,027.50, 1,541.28 and 258

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Solution

The fourth proportional to 1,027.50, 1,541.28 and 258 is: 387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.50 : 1,541.28 = 258 : x
  2. Step 2: Convert to fraction form
    1,027.50/1,541.28 = 258/x
  3. Step 3: Cross multiply
    1,027.50x = 1,541.28 × 258
  4. Step 4: Simplify right side
    1,027.50x = 397,650.24
  5. Step 5: Solve for x
    x = 397,650.24/1,027.50
  6. Step 6: Final answer
    x = 387.01

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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.