Home / 1,104.17-1,656.23-410.58

Finding the Fourth Proportional to 1,104.17, 1,656.23 and 410.58

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Solution

The fourth proportional to 1,104.17, 1,656.23 and 410.58 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.17 : 1,656.23 = 410.58 : x
  2. Step 2: Convert to fraction form
    1,104.17/1,656.23 = 410.58/x
  3. Step 3: Cross multiply
    1,104.17x = 1,656.23 × 410.58
  4. Step 4: Simplify right side
    1,104.17x = 680,012.86
  5. Step 5: Solve for x
    x = 680,012.86/1,104.17
  6. Step 6: Final answer
    x = 615.86

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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.