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Finding the Fourth Proportional to 649.40, 972.32 and 453.99

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Solution

The fourth proportional to 649.40, 972.32 and 453.99 is: 679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 972.32 = 453.99 : x
  2. Step 2: Convert to fraction form
    649.40/972.32 = 453.99/x
  3. Step 3: Cross multiply
    649.40x = 972.32 × 453.99
  4. Step 4: Simplify right side
    649.40x = 441,421.29
  5. Step 5: Solve for x
    x = 441,421.29/649.40
  6. Step 6: Final answer
    x = 679.74

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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.