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Finding the Fourth Proportional to 982.19, 1,472.27 and 434.63

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Solution

The fourth proportional to 982.19, 1,472.27 and 434.63 is: 651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.19 : 1,472.27 = 434.63 : x
  2. Step 2: Convert to fraction form
    982.19/1,472.27 = 434.63/x
  3. Step 3: Cross multiply
    982.19x = 1,472.27 × 434.63
  4. Step 4: Simplify right side
    982.19x = 639,883.18
  5. Step 5: Solve for x
    x = 639,883.18/982.19
  6. Step 6: Final answer
    x = 651.49

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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.