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Finding the Fourth Proportional to 711.28, 980.36 and 649.32

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Solution

The fourth proportional to 711.28, 980.36 and 649.32 is: 894.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.28 : 980.36 = 649.32 : x
  2. Step 2: Convert to fraction form
    711.28/980.36 = 649.32/x
  3. Step 3: Cross multiply
    711.28x = 980.36 × 649.32
  4. Step 4: Simplify right side
    711.28x = 636,567.36
  5. Step 5: Solve for x
    x = 636,567.36/711.28
  6. Step 6: Final answer
    x = 894.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.