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Finding the Fourth Proportional to 663.84, 1,001.88 and 646.56

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Solution

The fourth proportional to 663.84, 1,001.88 and 646.56 is: 975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 1,001.88 = 646.56 : x
  2. Step 2: Convert to fraction form
    663.84/1,001.88 = 646.56/x
  3. Step 3: Cross multiply
    663.84x = 1,001.88 × 646.56
  4. Step 4: Simplify right side
    663.84x = 647,775.53
  5. Step 5: Solve for x
    x = 647,775.53/663.84
  6. Step 6: Final answer
    x = 975.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.