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Finding the Fourth Proportional to 1,200.09, 1,655.90 and 702.73

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Solution

The fourth proportional to 1,200.09, 1,655.90 and 702.73 is: 969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.09 : 1,655.90 = 702.73 : x
  2. Step 2: Convert to fraction form
    1,200.09/1,655.90 = 702.73/x
  3. Step 3: Cross multiply
    1,200.09x = 1,655.90 × 702.73
  4. Step 4: Simplify right side
    1,200.09x = 1,163,650.61
  5. Step 5: Solve for x
    x = 1,163,650.61/1,200.09
  6. Step 6: Final answer
    x = 969.64

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1.5x scale

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.