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Finding the Fourth Proportional to 1,200.10, 1,656.99 and 780.70

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Solution

The fourth proportional to 1,200.10, 1,656.99 and 780.70 is: 1,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.10 : 1,656.99 = 780.70 : x
  2. Step 2: Convert to fraction form
    1,200.10/1,656.99 = 780.70/x
  3. Step 3: Cross multiply
    1,200.10x = 1,656.99 × 780.70
  4. Step 4: Simplify right side
    1,200.10x = 1,293,612.09
  5. Step 5: Solve for x
    x = 1,293,612.09/1,200.10
  6. Step 6: Final answer
    x = 1,077.92

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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.