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Finding the Fourth Proportional to 1,200.35, 1,655.81 and 702.89

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Solution

The fourth proportional to 1,200.35, 1,655.81 and 702.89 is: 969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.35 : 1,655.81 = 702.89 : x
  2. Step 2: Convert to fraction form
    1,200.35/1,655.81 = 702.89/x
  3. Step 3: Cross multiply
    1,200.35x = 1,655.81 × 702.89
  4. Step 4: Simplify right side
    1,200.35x = 1,163,856.40
  5. Step 5: Solve for x
    x = 1,163,856.40/1,200.35
  6. Step 6: Final answer
    x = 969.60

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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.