Home / 1,027.42-1,541.16-297.10

Finding the Fourth Proportional to 1,027.42, 1,541.16 and 297.10

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Solution

The fourth proportional to 1,027.42, 1,541.16 and 297.10 is: 445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.42 : 1,541.16 = 297.10 : x
  2. Step 2: Convert to fraction form
    1,027.42/1,541.16 = 297.10/x
  3. Step 3: Cross multiply
    1,027.42x = 1,541.16 × 297.10
  4. Step 4: Simplify right side
    1,027.42x = 457,878.64
  5. Step 5: Solve for x
    x = 457,878.64/1,027.42
  6. Step 6: Final answer
    x = 445.66

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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.