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Finding the Fourth Proportional to 659.73, 904.53 and 648.12

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Solution

The fourth proportional to 659.73, 904.53 and 648.12 is: 888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.73 : 904.53 = 648.12 : x
  2. Step 2: Convert to fraction form
    659.73/904.53 = 648.12/x
  3. Step 3: Cross multiply
    659.73x = 904.53 × 648.12
  4. Step 4: Simplify right side
    659.73x = 586,243.98
  5. Step 5: Solve for x
    x = 586,243.98/659.73
  6. Step 6: Final answer
    x = 888.61

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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.