Home / 1,027.40-1,541.36-297.03

Finding the Fourth Proportional to 1,027.40, 1,541.36 and 297.03

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Solution

The fourth proportional to 1,027.40, 1,541.36 and 297.03 is: 445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.40 : 1,541.36 = 297.03 : x
  2. Step 2: Convert to fraction form
    1,027.40/1,541.36 = 297.03/x
  3. Step 3: Cross multiply
    1,027.40x = 1,541.36 × 297.03
  4. Step 4: Simplify right side
    1,027.40x = 457,830.16
  5. Step 5: Solve for x
    x = 457,830.16/1,027.40
  6. Step 6: Final answer
    x = 445.62

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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.