Home / 1,027.66-1,541.60-297.24

Finding the Fourth Proportional to 1,027.66, 1,541.60 and 297.24

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Solution

The fourth proportional to 1,027.66, 1,541.60 and 297.24 is: 445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.66 : 1,541.60 = 297.24 : x
  2. Step 2: Convert to fraction form
    1,027.66/1,541.60 = 297.24/x
  3. Step 3: Cross multiply
    1,027.66x = 1,541.60 × 297.24
  4. Step 4: Simplify right side
    1,027.66x = 458,225.18
  5. Step 5: Solve for x
    x = 458,225.18/1,027.66
  6. Step 6: Final answer
    x = 445.89

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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.