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Finding the Fourth Proportional to 2,008.65, 3,012.65 and 603.06

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Solution

The fourth proportional to 2,008.65, 3,012.65 and 603.06 is: 904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.65 : 3,012.65 = 603.06 : x
  2. Step 2: Convert to fraction form
    2,008.65/3,012.65 = 603.06/x
  3. Step 3: Cross multiply
    2,008.65x = 3,012.65 × 603.06
  4. Step 4: Simplify right side
    2,008.65x = 1,816,808.71
  5. Step 5: Solve for x
    x = 1,816,808.71/2,008.65
  6. Step 6: Final answer
    x = 904.49

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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.