Home / 1,027.47-1,541.28-297.05

Finding the Fourth Proportional to 1,027.47, 1,541.28 and 297.05

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Solution

The fourth proportional to 1,027.47, 1,541.28 and 297.05 is: 445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.47 : 1,541.28 = 297.05 : x
  2. Step 2: Convert to fraction form
    1,027.47/1,541.28 = 297.05/x
  3. Step 3: Cross multiply
    1,027.47x = 1,541.28 × 297.05
  4. Step 4: Simplify right side
    1,027.47x = 457,837.22
  5. Step 5: Solve for x
    x = 457,837.22/1,027.47
  6. Step 6: Final answer
    x = 445.60

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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.