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Finding the Fourth Proportional to 656.96, 903.89 and 640.76

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Solution

The fourth proportional to 656.96, 903.89 and 640.76 is: 881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 903.89 = 640.76 : x
  2. Step 2: Convert to fraction form
    656.96/903.89 = 640.76/x
  3. Step 3: Cross multiply
    656.96x = 903.89 × 640.76
  4. Step 4: Simplify right side
    656.96x = 579,173.64
  5. Step 5: Solve for x
    x = 579,173.64/656.96
  6. Step 6: Final answer
    x = 881.60

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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.