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Finding the Fourth Proportional to 686.95, 1,029.74 and 297.04

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Solution

The fourth proportional to 686.95, 1,029.74 and 297.04 is: 445.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.95 : 1,029.74 = 297.04 : x
  2. Step 2: Convert to fraction form
    686.95/1,029.74 = 297.04/x
  3. Step 3: Cross multiply
    686.95x = 1,029.74 × 297.04
  4. Step 4: Simplify right side
    686.95x = 305,873.97
  5. Step 5: Solve for x
    x = 305,873.97/686.95
  6. Step 6: Final answer
    x = 445.26

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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.