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Finding the Fourth Proportional to 460.46, 689.90 and 297.80

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Solution

The fourth proportional to 460.46, 689.90 and 297.80 is: 446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.46 : 689.90 = 297.80 : x
  2. Step 2: Convert to fraction form
    460.46/689.90 = 297.80/x
  3. Step 3: Cross multiply
    460.46x = 689.90 × 297.80
  4. Step 4: Simplify right side
    460.46x = 205,452.22
  5. Step 5: Solve for x
    x = 205,452.22/460.46
  6. Step 6: Final answer
    x = 446.19

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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.