Home / 684.03-1,026.30-410.32

Finding the Fourth Proportional to 684.03, 1,026.30 and 410.32

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Solution

The fourth proportional to 684.03, 1,026.30 and 410.32 is: 615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.03 : 1,026.30 = 410.32 : x
  2. Step 2: Convert to fraction form
    684.03/1,026.30 = 410.32/x
  3. Step 3: Cross multiply
    684.03x = 1,026.30 × 410.32
  4. Step 4: Simplify right side
    684.03x = 421,104.23
  5. Step 5: Solve for x
    x = 421,104.23/684.03
  6. Step 6: Final answer
    x = 615.62

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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.