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Finding the Fourth Proportional to 2,005.71, 3,008.30 and 707.01

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Solution

The fourth proportional to 2,005.71, 3,008.30 and 707.01 is: 1,060.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.71 : 3,008.30 = 707.01 : x
  2. Step 2: Convert to fraction form
    2,005.71/3,008.30 = 707.01/x
  3. Step 3: Cross multiply
    2,005.71x = 3,008.30 × 707.01
  4. Step 4: Simplify right side
    2,005.71x = 2,126,894.65
  5. Step 5: Solve for x
    x = 2,126,894.65/2,005.71
  6. Step 6: Final answer
    x = 1,060.42

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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.