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Finding the Fourth Proportional to 1,208.34, 1,666.14 and 986.61

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Solution

The fourth proportional to 1,208.34, 1,666.14 and 986.61 is: 1,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.34 : 1,666.14 = 986.61 : x
  2. Step 2: Convert to fraction form
    1,208.34/1,666.14 = 986.61/x
  3. Step 3: Cross multiply
    1,208.34x = 1,666.14 × 986.61
  4. Step 4: Simplify right side
    1,208.34x = 1,643,830.39
  5. Step 5: Solve for x
    x = 1,643,830.39/1,208.34
  6. Step 6: Final answer
    x = 1,360.40

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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.