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Finding the Fourth Proportional to 1,179.19, 1,627.12 and 707.00

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Solution

The fourth proportional to 1,179.19, 1,627.12 and 707.00 is: 975.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.19 : 1,627.12 = 707.00 : x
  2. Step 2: Convert to fraction form
    1,179.19/1,627.12 = 707.00/x
  3. Step 3: Cross multiply
    1,179.19x = 1,627.12 × 707.00
  4. Step 4: Simplify right side
    1,179.19x = 1,150,366.59
  5. Step 5: Solve for x
    x = 1,150,366.59/1,179.19
  6. Step 6: Final answer
    x = 975.56

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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.