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Finding the Fourth Proportional to 460.02, 689.49 and 297.80

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Solution

The fourth proportional to 460.02, 689.49 and 297.80 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.02 : 689.49 = 297.80 : x
  2. Step 2: Convert to fraction form
    460.02/689.49 = 297.80/x
  3. Step 3: Cross multiply
    460.02x = 689.49 × 297.80
  4. Step 4: Simplify right side
    460.02x = 205,326.67
  5. Step 5: Solve for x
    x = 205,326.67/460.02
  6. Step 6: Final answer
    x = 446.34

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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.