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Finding the Fourth Proportional to 656.88, 905.86 and 471.28

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Solution

The fourth proportional to 656.88, 905.86 and 471.28 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.88 : 905.86 = 471.28 : x
  2. Step 2: Convert to fraction form
    656.88/905.86 = 471.28/x
  3. Step 3: Cross multiply
    656.88x = 905.86 × 471.28
  4. Step 4: Simplify right side
    656.88x = 426,913.70
  5. Step 5: Solve for x
    x = 426,913.70/656.88
  6. Step 6: Final answer
    x = 649.91

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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.