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Finding the Fourth Proportional to 663.51, 990.25 and 646.23

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Solution

The fourth proportional to 663.51, 990.25 and 646.23 is: 964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.51 : 990.25 = 646.23 : x
  2. Step 2: Convert to fraction form
    663.51/990.25 = 646.23/x
  3. Step 3: Cross multiply
    663.51x = 990.25 × 646.23
  4. Step 4: Simplify right side
    663.51x = 639,927.64
  5. Step 5: Solve for x
    x = 639,927.64/663.51
  6. Step 6: Final answer
    x = 964.46

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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.