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Finding the Fourth Proportional to 650.79, 898.40 and 493.45

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Solution

The fourth proportional to 650.79, 898.40 and 493.45 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.79 : 898.40 = 493.45 : x
  2. Step 2: Convert to fraction form
    650.79/898.40 = 493.45/x
  3. Step 3: Cross multiply
    650.79x = 898.40 × 493.45
  4. Step 4: Simplify right side
    650.79x = 443,313.01
  5. Step 5: Solve for x
    x = 443,313.01/650.79
  6. Step 6: Final answer
    x = 681.19

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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.