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Finding the Fourth Proportional to 646.55, 964.74 and 607.37

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Solution

The fourth proportional to 646.55, 964.74 and 607.37 is: 906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.55 : 964.74 = 607.37 : x
  2. Step 2: Convert to fraction form
    646.55/964.74 = 607.37/x
  3. Step 3: Cross multiply
    646.55x = 964.74 × 607.37
  4. Step 4: Simplify right side
    646.55x = 585,954.13
  5. Step 5: Solve for x
    x = 585,954.13/646.55
  6. Step 6: Final answer
    x = 906.28

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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.