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Finding the Fourth Proportional to 659.28, 983.90 and 651.12

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Solution

The fourth proportional to 659.28, 983.90 and 651.12 is: 971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 983.90 = 651.12 : x
  2. Step 2: Convert to fraction form
    659.28/983.90 = 651.12/x
  3. Step 3: Cross multiply
    659.28x = 983.90 × 651.12
  4. Step 4: Simplify right side
    659.28x = 640,636.97
  5. Step 5: Solve for x
    x = 640,636.97/659.28
  6. Step 6: Final answer
    x = 971.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.