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Finding the Fourth Proportional to 1,200.90, 1,657.62 and 703.70

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Solution

The fourth proportional to 1,200.90, 1,657.62 and 703.70 is: 971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.90 : 1,657.62 = 703.70 : x
  2. Step 2: Convert to fraction form
    1,200.90/1,657.62 = 703.70/x
  3. Step 3: Cross multiply
    1,200.90x = 1,657.62 × 703.70
  4. Step 4: Simplify right side
    1,200.90x = 1,166,472.47
  5. Step 5: Solve for x
    x = 1,166,472.47/1,200.90
  6. Step 6: Final answer
    x = 971.33

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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.