Home / 1,026.46-1,417.80-902.26

Finding the Fourth Proportional to 1,026.46, 1,417.80 and 902.26

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Solution

The fourth proportional to 1,026.46, 1,417.80 and 902.26 is: 1,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.46 : 1,417.80 = 902.26 : x
  2. Step 2: Convert to fraction form
    1,026.46/1,417.80 = 902.26/x
  3. Step 3: Cross multiply
    1,026.46x = 1,417.80 × 902.26
  4. Step 4: Simplify right side
    1,026.46x = 1,279,224.23
  5. Step 5: Solve for x
    x = 1,279,224.23/1,026.46
  6. Step 6: Final answer
    x = 1,246.25

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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.