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Finding the Fourth Proportional to 649.77, 973.98 and 486.96

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Solution

The fourth proportional to 649.77, 973.98 and 486.96 is: 729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 973.98 = 486.96 : x
  2. Step 2: Convert to fraction form
    649.77/973.98 = 486.96/x
  3. Step 3: Cross multiply
    649.77x = 973.98 × 486.96
  4. Step 4: Simplify right side
    649.77x = 474,289.30
  5. Step 5: Solve for x
    x = 474,289.30/649.77
  6. Step 6: Final answer
    x = 729.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.