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Finding the Fourth Proportional to 648.60, 890.28 and 599.34

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Solution

The fourth proportional to 648.60, 890.28 and 599.34 is: 822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.60 : 890.28 = 599.34 : x
  2. Step 2: Convert to fraction form
    648.60/890.28 = 599.34/x
  3. Step 3: Cross multiply
    648.60x = 890.28 × 599.34
  4. Step 4: Simplify right side
    648.60x = 533,580.42
  5. Step 5: Solve for x
    x = 533,580.42/648.60
  6. Step 6: Final answer
    x = 822.66

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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.