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Finding the Fourth Proportional to 656.45, 906.03 and 407.87

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Solution

The fourth proportional to 656.45, 906.03 and 407.87 is: 562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.45 : 906.03 = 407.87 : x
  2. Step 2: Convert to fraction form
    656.45/906.03 = 407.87/x
  3. Step 3: Cross multiply
    656.45x = 906.03 × 407.87
  4. Step 4: Simplify right side
    656.45x = 369,540.42
  5. Step 5: Solve for x
    x = 369,540.42/656.45
  6. Step 6: Final answer
    x = 562.94

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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.