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Finding the Fourth Proportional to 649.24, 973.88 and 264.52

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Solution

The fourth proportional to 649.24, 973.88 and 264.52 is: 396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.24 : 973.88 = 264.52 : x
  2. Step 2: Convert to fraction form
    649.24/973.88 = 264.52/x
  3. Step 3: Cross multiply
    649.24x = 973.88 × 264.52
  4. Step 4: Simplify right side
    649.24x = 257,610.74
  5. Step 5: Solve for x
    x = 257,610.74/649.24
  6. Step 6: Final answer
    x = 396.79

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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.