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Finding the Fourth Proportional to 640, 954.74 and 617.56

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Solution

The fourth proportional to 640, 954.74 and 617.56 is: 921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    640 : 954.74 = 617.56 : x
  2. Step 2: Convert to fraction form
    640/954.74 = 617.56/x
  3. Step 3: Cross multiply
    640x = 954.74 × 617.56
  4. Step 4: Simplify right side
    640x = 589,609.23
  5. Step 5: Solve for x
    x = 589,609.23/640
  6. Step 6: Final answer
    x = 921.26

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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.