Home / 1,026.28-1,416.30-584.20

Finding the Fourth Proportional to 1,026.28, 1,416.30 and 584.20

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Solution

The fourth proportional to 1,026.28, 1,416.30 and 584.20 is: 806.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.28 : 1,416.30 = 584.20 : x
  2. Step 2: Convert to fraction form
    1,026.28/1,416.30 = 584.20/x
  3. Step 3: Cross multiply
    1,026.28x = 1,416.30 × 584.20
  4. Step 4: Simplify right side
    1,026.28x = 827,402.46
  5. Step 5: Solve for x
    x = 827,402.46/1,026.28
  6. Step 6: Final answer
    x = 806.22

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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.