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Finding the Fourth Proportional to 649.13, 973.71 and 264.65

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Solution

The fourth proportional to 649.13, 973.71 and 264.65 is: 396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.13 : 973.71 = 264.65 : x
  2. Step 2: Convert to fraction form
    649.13/973.71 = 264.65/x
  3. Step 3: Cross multiply
    649.13x = 973.71 × 264.65
  4. Step 4: Simplify right side
    649.13x = 257,687.48
  5. Step 5: Solve for x
    x = 257,687.48/649.13
  6. Step 6: Final answer
    x = 396.98

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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.