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Finding the Fourth Proportional to 1,172.69, 1,618.48 and 675.28

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Solution

The fourth proportional to 1,172.69, 1,618.48 and 675.28 is: 931.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.69 : 1,618.48 = 675.28 : x
  2. Step 2: Convert to fraction form
    1,172.69/1,618.48 = 675.28/x
  3. Step 3: Cross multiply
    1,172.69x = 1,618.48 × 675.28
  4. Step 4: Simplify right side
    1,172.69x = 1,092,925.49
  5. Step 5: Solve for x
    x = 1,092,925.49/1,172.69
  6. Step 6: Final answer
    x = 931.98

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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.