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Finding the Fourth Proportional to 1,054.50, 1,581.75 and 285

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Solution

The fourth proportional to 1,054.50, 1,581.75 and 285 is: 427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.50 : 1,581.75 = 285 : x
  2. Step 2: Convert to fraction form
    1,054.50/1,581.75 = 285/x
  3. Step 3: Cross multiply
    1,054.50x = 1,581.75 × 285
  4. Step 4: Simplify right side
    1,054.50x = 450,798.75
  5. Step 5: Solve for x
    x = 450,798.75/1,054.50
  6. Step 6: Final answer
    x = 427.50

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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.