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Finding the Fourth Proportional to 460.10, 688.80 and 406.10

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Solution

The fourth proportional to 460.10, 688.80 and 406.10 is: 607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 688.80 = 406.10 : x
  2. Step 2: Convert to fraction form
    460.10/688.80 = 406.10/x
  3. Step 3: Cross multiply
    460.10x = 688.80 × 406.10
  4. Step 4: Simplify right side
    460.10x = 279,721.68
  5. Step 5: Solve for x
    x = 279,721.68/460.10
  6. Step 6: Final answer
    x = 607.96

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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.