Home / 1,027.76-1,541.75-297.45

Finding the Fourth Proportional to 1,027.76, 1,541.75 and 297.45

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Solution

The fourth proportional to 1,027.76, 1,541.75 and 297.45 is: 446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.76 : 1,541.75 = 297.45 : x
  2. Step 2: Convert to fraction form
    1,027.76/1,541.75 = 297.45/x
  3. Step 3: Cross multiply
    1,027.76x = 1,541.75 × 297.45
  4. Step 4: Simplify right side
    1,027.76x = 458,592.05
  5. Step 5: Solve for x
    x = 458,592.05/1,027.76
  6. Step 6: Final answer
    x = 446.21

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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.