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Finding the Fourth Proportional to 1,992.68, 2,989.04 and 606.24

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Solution

The fourth proportional to 1,992.68, 2,989.04 and 606.24 is: 909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.68 : 2,989.04 = 606.24 : x
  2. Step 2: Convert to fraction form
    1,992.68/2,989.04 = 606.24/x
  3. Step 3: Cross multiply
    1,992.68x = 2,989.04 × 606.24
  4. Step 4: Simplify right side
    1,992.68x = 1,812,075.61
  5. Step 5: Solve for x
    x = 1,812,075.61/1,992.68
  6. Step 6: Final answer
    x = 909.37

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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.