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Finding the Fourth Proportional to 675.99, 1,012.23 and 579.11

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Solution

The fourth proportional to 675.99, 1,012.23 and 579.11 is: 867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.99 : 1,012.23 = 579.11 : x
  2. Step 2: Convert to fraction form
    675.99/1,012.23 = 579.11/x
  3. Step 3: Cross multiply
    675.99x = 1,012.23 × 579.11
  4. Step 4: Simplify right side
    675.99x = 586,192.52
  5. Step 5: Solve for x
    x = 586,192.52/675.99
  6. Step 6: Final answer
    x = 867.16

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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.