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Finding the Fourth Proportional to 672.69, 1,008.93 and 307.40

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Solution

The fourth proportional to 672.69, 1,008.93 and 307.40 is: 461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.69 : 1,008.93 = 307.40 : x
  2. Step 2: Convert to fraction form
    672.69/1,008.93 = 307.40/x
  3. Step 3: Cross multiply
    672.69x = 1,008.93 × 307.40
  4. Step 4: Simplify right side
    672.69x = 310,138.50
  5. Step 5: Solve for x
    x = 310,138.50/672.69
  6. Step 6: Final answer
    x = 461.04

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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.