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Finding the Fourth Proportional to 1,215.25, 1,677.05 and 663.25

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Solution

The fourth proportional to 1,215.25, 1,677.05 and 663.25 is: 915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.25 : 1,677.05 = 663.25 : x
  2. Step 2: Convert to fraction form
    1,215.25/1,677.05 = 663.25/x
  3. Step 3: Cross multiply
    1,215.25x = 1,677.05 × 663.25
  4. Step 4: Simplify right side
    1,215.25x = 1,112,303.41
  5. Step 5: Solve for x
    x = 1,112,303.41/1,215.25
  6. Step 6: Final answer
    x = 915.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.