Home / 1,027.12-1,539.51-442.60

Finding the Fourth Proportional to 1,027.12, 1,539.51 and 442.60

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Solution

The fourth proportional to 1,027.12, 1,539.51 and 442.60 is: 663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.12 : 1,539.51 = 442.60 : x
  2. Step 2: Convert to fraction form
    1,027.12/1,539.51 = 442.60/x
  3. Step 3: Cross multiply
    1,027.12x = 1,539.51 × 442.60
  4. Step 4: Simplify right side
    1,027.12x = 681,387.13
  5. Step 5: Solve for x
    x = 681,387.13/1,027.12
  6. Step 6: Final answer
    x = 663.40

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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.