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Finding the Fourth Proportional to 460.49, 686.88 and 438.21

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Solution

The fourth proportional to 460.49, 686.88 and 438.21 is: 653.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.49 : 686.88 = 438.21 : x
  2. Step 2: Convert to fraction form
    460.49/686.88 = 438.21/x
  3. Step 3: Cross multiply
    460.49x = 686.88 × 438.21
  4. Step 4: Simplify right side
    460.49x = 300,997.68
  5. Step 5: Solve for x
    x = 300,997.68/460.49
  6. Step 6: Final answer
    x = 653.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.