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Finding the Fourth Proportional to 675.65, 1,013.64 and 264.80

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Solution

The fourth proportional to 675.65, 1,013.64 and 264.80 is: 397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.65 : 1,013.64 = 264.80 : x
  2. Step 2: Convert to fraction form
    675.65/1,013.64 = 264.80/x
  3. Step 3: Cross multiply
    675.65x = 1,013.64 × 264.80
  4. Step 4: Simplify right side
    675.65x = 268,406.80
  5. Step 5: Solve for x
    x = 268,406.80/675.65
  6. Step 6: Final answer
    x = 397.26

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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.