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Finding the Fourth Proportional to 649.76, 973.94 and 320.24

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Solution

The fourth proportional to 649.76, 973.94 and 320.24 is: 480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 973.94 = 320.24 : x
  2. Step 2: Convert to fraction form
    649.76/973.94 = 320.24/x
  3. Step 3: Cross multiply
    649.76x = 973.94 × 320.24
  4. Step 4: Simplify right side
    649.76x = 311,888.07
  5. Step 5: Solve for x
    x = 311,888.07/649.76
  6. Step 6: Final answer
    x = 480.01

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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.