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Finding the Fourth Proportional to 675.65, 1,012.80 and 264.23

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Solution

The fourth proportional to 675.65, 1,012.80 and 264.23 is: 396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.65 : 1,012.80 = 264.23 : x
  2. Step 2: Convert to fraction form
    675.65/1,012.80 = 264.23/x
  3. Step 3: Cross multiply
    675.65x = 1,012.80 × 264.23
  4. Step 4: Simplify right side
    675.65x = 267,607.08
  5. Step 5: Solve for x
    x = 267,607.08/675.65
  6. Step 6: Final answer
    x = 396.07

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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.