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Finding the Fourth Proportional to 1,200.08, 1,655.69 and 702.60

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Solution

The fourth proportional to 1,200.08, 1,655.69 and 702.60 is: 969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.08 : 1,655.69 = 702.60 : x
  2. Step 2: Convert to fraction form
    1,200.08/1,655.69 = 702.60/x
  3. Step 3: Cross multiply
    1,200.08x = 1,655.69 × 702.60
  4. Step 4: Simplify right side
    1,200.08x = 1,163,284.28
  5. Step 5: Solve for x
    x = 1,163,284.28/1,200.08
  6. Step 6: Final answer
    x = 969.34

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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.