Home / 1,026.40-1,539.30-409.96

Finding the Fourth Proportional to 1,026.40, 1,539.30 and 409.96

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Solution

The fourth proportional to 1,026.40, 1,539.30 and 409.96 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.40 : 1,539.30 = 409.96 : x
  2. Step 2: Convert to fraction form
    1,026.40/1,539.30 = 409.96/x
  3. Step 3: Cross multiply
    1,026.40x = 1,539.30 × 409.96
  4. Step 4: Simplify right side
    1,026.40x = 631,051.43
  5. Step 5: Solve for x
    x = 631,051.43/1,026.40
  6. Step 6: Final answer
    x = 614.82

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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.