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Finding the Fourth Proportional to 1,007.09, 1,510.94 and 679.34

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Solution

The fourth proportional to 1,007.09, 1,510.94 and 679.34 is: 1,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.09 : 1,510.94 = 679.34 : x
  2. Step 2: Convert to fraction form
    1,007.09/1,510.94 = 679.34/x
  3. Step 3: Cross multiply
    1,007.09x = 1,510.94 × 679.34
  4. Step 4: Simplify right side
    1,007.09x = 1,026,440.47
  5. Step 5: Solve for x
    x = 1,026,440.47/1,007.09
  6. Step 6: Final answer
    x = 1,019.22

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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.