Home / 1,027.10-1,417.37-578.97

Finding the Fourth Proportional to 1,027.10, 1,417.37 and 578.97

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Solution

The fourth proportional to 1,027.10, 1,417.37 and 578.97 is: 798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.10 : 1,417.37 = 578.97 : x
  2. Step 2: Convert to fraction form
    1,027.10/1,417.37 = 578.97/x
  3. Step 3: Cross multiply
    1,027.10x = 1,417.37 × 578.97
  4. Step 4: Simplify right side
    1,027.10x = 820,611.81
  5. Step 5: Solve for x
    x = 820,611.81/1,027.10
  6. Step 6: Final answer
    x = 798.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.