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Finding the Fourth Proportional to 657.45, 981.62 and 650.88

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Solution

The fourth proportional to 657.45, 981.62 and 650.88 is: 971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 981.62 = 650.88 : x
  2. Step 2: Convert to fraction form
    657.45/981.62 = 650.88/x
  3. Step 3: Cross multiply
    657.45x = 981.62 × 650.88
  4. Step 4: Simplify right side
    657.45x = 638,916.01
  5. Step 5: Solve for x
    x = 638,916.01/657.45
  6. Step 6: Final answer
    x = 971.81

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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.