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Finding the Fourth Proportional to 682.90, 1,025.10 and 358.18

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Solution

The fourth proportional to 682.90, 1,025.10 and 358.18 is: 537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.90 : 1,025.10 = 358.18 : x
  2. Step 2: Convert to fraction form
    682.90/1,025.10 = 358.18/x
  3. Step 3: Cross multiply
    682.90x = 1,025.10 × 358.18
  4. Step 4: Simplify right side
    682.90x = 367,170.32
  5. Step 5: Solve for x
    x = 367,170.32/682.90
  6. Step 6: Final answer
    x = 537.66

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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.