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Finding the Fourth Proportional to 647.05, 962.96 and 640.57

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Solution

The fourth proportional to 647.05, 962.96 and 640.57 is: 953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.05 : 962.96 = 640.57 : x
  2. Step 2: Convert to fraction form
    647.05/962.96 = 640.57/x
  3. Step 3: Cross multiply
    647.05x = 962.96 × 640.57
  4. Step 4: Simplify right side
    647.05x = 616,843.29
  5. Step 5: Solve for x
    x = 616,843.29/647.05
  6. Step 6: Final answer
    x = 953.32

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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.