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Finding the Fourth Proportional to 1,208.06, 1,666.82 and 766.01

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Solution

The fourth proportional to 1,208.06, 1,666.82 and 766.01 is: 1,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,666.82 = 766.01 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,666.82 = 766.01/x
  3. Step 3: Cross multiply
    1,208.06x = 1,666.82 × 766.01
  4. Step 4: Simplify right side
    1,208.06x = 1,276,800.79
  5. Step 5: Solve for x
    x = 1,276,800.79/1,208.06
  6. Step 6: Final answer
    x = 1,056.90

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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.