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Finding the Fourth Proportional to 1,208.81, 1,666.74 and 788.57

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Solution

The fourth proportional to 1,208.81, 1,666.74 and 788.57 is: 1,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.81 : 1,666.74 = 788.57 : x
  2. Step 2: Convert to fraction form
    1,208.81/1,666.74 = 788.57/x
  3. Step 3: Cross multiply
    1,208.81x = 1,666.74 × 788.57
  4. Step 4: Simplify right side
    1,208.81x = 1,314,341.16
  5. Step 5: Solve for x
    x = 1,314,341.16/1,208.81
  6. Step 6: Final answer
    x = 1,087.30

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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.