Home / 1,026.04-1,539.40-409.60

Finding the Fourth Proportional to 1,026.04, 1,539.40 and 409.60

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Solution

The fourth proportional to 1,026.04, 1,539.40 and 409.60 is: 614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.04 : 1,539.40 = 409.60 : x
  2. Step 2: Convert to fraction form
    1,026.04/1,539.40 = 409.60/x
  3. Step 3: Cross multiply
    1,026.04x = 1,539.40 × 409.60
  4. Step 4: Simplify right side
    1,026.04x = 630,538.24
  5. Step 5: Solve for x
    x = 630,538.24/1,026.04
  6. Step 6: Final answer
    x = 614.54

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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.