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Finding the Fourth Proportional to 672.38, 1,008.49 and 307.07

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Solution

The fourth proportional to 672.38, 1,008.49 and 307.07 is: 460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.38 : 1,008.49 = 307.07 : x
  2. Step 2: Convert to fraction form
    672.38/1,008.49 = 307.07/x
  3. Step 3: Cross multiply
    672.38x = 1,008.49 × 307.07
  4. Step 4: Simplify right side
    672.38x = 309,677.02
  5. Step 5: Solve for x
    x = 309,677.02/672.38
  6. Step 6: Final answer
    x = 460.57

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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.