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Finding the Fourth Proportional to 649.09, 973.77 and 340.75

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Solution

The fourth proportional to 649.09, 973.77 and 340.75 is: 511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.09 : 973.77 = 340.75 : x
  2. Step 2: Convert to fraction form
    649.09/973.77 = 340.75/x
  3. Step 3: Cross multiply
    649.09x = 973.77 × 340.75
  4. Step 4: Simplify right side
    649.09x = 331,812.13
  5. Step 5: Solve for x
    x = 331,812.13/649.09
  6. Step 6: Final answer
    x = 511.20

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Double scale
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Similar ratio
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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.