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Finding the Fourth Proportional to 649.17, 971.91 and 340.32

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Solution

The fourth proportional to 649.17, 971.91 and 340.32 is: 509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.17 : 971.91 = 340.32 : x
  2. Step 2: Convert to fraction form
    649.17/971.91 = 340.32/x
  3. Step 3: Cross multiply
    649.17x = 971.91 × 340.32
  4. Step 4: Simplify right side
    649.17x = 330,760.41
  5. Step 5: Solve for x
    x = 330,760.41/649.17
  6. Step 6: Final answer
    x = 509.51

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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.