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Finding the Fourth Proportional to 656.39, 905.22 and 407.63

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Solution

The fourth proportional to 656.39, 905.22 and 407.63 is: 562.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.39 : 905.22 = 407.63 : x
  2. Step 2: Convert to fraction form
    656.39/905.22 = 407.63/x
  3. Step 3: Cross multiply
    656.39x = 905.22 × 407.63
  4. Step 4: Simplify right side
    656.39x = 368,990.30
  5. Step 5: Solve for x
    x = 368,990.30/656.39
  6. Step 6: Final answer
    x = 562.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.