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Finding the Fourth Proportional to 1,172.34, 1,617.94 and 675.00

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Solution

The fourth proportional to 1,172.34, 1,617.94 and 675.00 is: 931.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.34 : 1,617.94 = 675.00 : x
  2. Step 2: Convert to fraction form
    1,172.34/1,617.94 = 675.00/x
  3. Step 3: Cross multiply
    1,172.34x = 1,617.94 × 675.00
  4. Step 4: Simplify right side
    1,172.34x = 1,092,101.41
  5. Step 5: Solve for x
    x = 1,092,101.41/1,172.34
  6. Step 6: Final answer
    x = 931.56

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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.