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Finding the Fourth Proportional to 460.96, 688.38 and 405.07

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Solution

The fourth proportional to 460.96, 688.38 and 405.07 is: 604.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.96 : 688.38 = 405.07 : x
  2. Step 2: Convert to fraction form
    460.96/688.38 = 405.07/x
  3. Step 3: Cross multiply
    460.96x = 688.38 × 405.07
  4. Step 4: Simplify right side
    460.96x = 278,841.13
  5. Step 5: Solve for x
    x = 278,841.13/460.96
  6. Step 6: Final answer
    x = 604.92

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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.