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Finding the Fourth Proportional to 649.43, 973.02 and 465.92

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Solution

The fourth proportional to 649.43, 973.02 and 465.92 is: 698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.43 : 973.02 = 465.92 : x
  2. Step 2: Convert to fraction form
    649.43/973.02 = 465.92/x
  3. Step 3: Cross multiply
    649.43x = 973.02 × 465.92
  4. Step 4: Simplify right side
    649.43x = 453,349.48
  5. Step 5: Solve for x
    x = 453,349.48/649.43
  6. Step 6: Final answer
    x = 698.07

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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.