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Finding the Fourth Proportional to 672.29, 1,008.74 and 307.33

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Solution

The fourth proportional to 672.29, 1,008.74 and 307.33 is: 461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.29 : 1,008.74 = 307.33 : x
  2. Step 2: Convert to fraction form
    672.29/1,008.74 = 307.33/x
  3. Step 3: Cross multiply
    672.29x = 1,008.74 × 307.33
  4. Step 4: Simplify right side
    672.29x = 310,016.06
  5. Step 5: Solve for x
    x = 310,016.06/672.29
  6. Step 6: Final answer
    x = 461.13

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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.