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Finding the Fourth Proportional to 1,666.49, 2,499.73 and 639.77

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Solution

The fourth proportional to 1,666.49, 2,499.73 and 639.77 is: 959.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.49 : 2,499.73 = 639.77 : x
  2. Step 2: Convert to fraction form
    1,666.49/2,499.73 = 639.77/x
  3. Step 3: Cross multiply
    1,666.49x = 2,499.73 × 639.77
  4. Step 4: Simplify right side
    1,666.49x = 1,599,238.16
  5. Step 5: Solve for x
    x = 1,599,238.16/1,666.49
  6. Step 6: Final answer
    x = 959.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.