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Finding the Fourth Proportional to 659.87, 910.05 and 474.59

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Solution

The fourth proportional to 659.87, 910.05 and 474.59 is: 654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.87 : 910.05 = 474.59 : x
  2. Step 2: Convert to fraction form
    659.87/910.05 = 474.59/x
  3. Step 3: Cross multiply
    659.87x = 910.05 × 474.59
  4. Step 4: Simplify right side
    659.87x = 431,896.08
  5. Step 5: Solve for x
    x = 431,896.08/659.87
  6. Step 6: Final answer
    x = 654.52

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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.