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Finding the Fourth Proportional to 1,179.32, 1,627.54 and 655.38

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Solution

The fourth proportional to 1,179.32, 1,627.54 and 655.38 is: 904.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.32 : 1,627.54 = 655.38 : x
  2. Step 2: Convert to fraction form
    1,179.32/1,627.54 = 655.38/x
  3. Step 3: Cross multiply
    1,179.32x = 1,627.54 × 655.38
  4. Step 4: Simplify right side
    1,179.32x = 1,066,657.17
  5. Step 5: Solve for x
    x = 1,066,657.17/1,179.32
  6. Step 6: Final answer
    x = 904.47

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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.