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Finding the Fourth Proportional to 672.82, 1,008.91 and 307.42

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Solution

The fourth proportional to 672.82, 1,008.91 and 307.42 is: 460.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.82 : 1,008.91 = 307.42 : x
  2. Step 2: Convert to fraction form
    672.82/1,008.91 = 307.42/x
  3. Step 3: Cross multiply
    672.82x = 1,008.91 × 307.42
  4. Step 4: Simplify right side
    672.82x = 310,159.11
  5. Step 5: Solve for x
    x = 310,159.11/672.82
  6. Step 6: Final answer
    x = 460.98

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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.