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Finding the Fourth Proportional to 649.27, 972.02 and 340.39

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Solution

The fourth proportional to 649.27, 972.02 and 340.39 is: 509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 972.02 = 340.39 : x
  2. Step 2: Convert to fraction form
    649.27/972.02 = 340.39/x
  3. Step 3: Cross multiply
    649.27x = 972.02 × 340.39
  4. Step 4: Simplify right side
    649.27x = 330,864.19
  5. Step 5: Solve for x
    x = 330,864.19/649.27
  6. Step 6: Final answer
    x = 509.59

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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.