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Finding the Fourth Proportional to 648.35, 889.86 and 592.73

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Solution

The fourth proportional to 648.35, 889.86 and 592.73 is: 813.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.35 : 889.86 = 592.73 : x
  2. Step 2: Convert to fraction form
    648.35/889.86 = 592.73/x
  3. Step 3: Cross multiply
    648.35x = 889.86 × 592.73
  4. Step 4: Simplify right side
    648.35x = 527,443.75
  5. Step 5: Solve for x
    x = 527,443.75/648.35
  6. Step 6: Final answer
    x = 813.52

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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.