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Finding the Fourth Proportional to 656.42, 901.80 and 587.39

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Solution

The fourth proportional to 656.42, 901.80 and 587.39 is: 806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.42 : 901.80 = 587.39 : x
  2. Step 2: Convert to fraction form
    656.42/901.80 = 587.39/x
  3. Step 3: Cross multiply
    656.42x = 901.80 × 587.39
  4. Step 4: Simplify right side
    656.42x = 529,708.30
  5. Step 5: Solve for x
    x = 529,708.30/656.42
  6. Step 6: Final answer
    x = 806.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.