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Finding the Fourth Proportional to 1,111.43, 1,666.79 and 462

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Solution

The fourth proportional to 1,111.43, 1,666.79 and 462 is: 692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.43 : 1,666.79 = 462 : x
  2. Step 2: Convert to fraction form
    1,111.43/1,666.79 = 462/x
  3. Step 3: Cross multiply
    1,111.43x = 1,666.79 × 462
  4. Step 4: Simplify right side
    1,111.43x = 770,054.67
  5. Step 5: Solve for x
    x = 770,054.67/1,111.43
  6. Step 6: Final answer
    x = 692.85

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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.