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Finding the Fourth Proportional to 673.14, 1,008.48 and 442.50

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Solution

The fourth proportional to 673.14, 1,008.48 and 442.50 is: 662.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.14 : 1,008.48 = 442.50 : x
  2. Step 2: Convert to fraction form
    673.14/1,008.48 = 442.50/x
  3. Step 3: Cross multiply
    673.14x = 1,008.48 × 442.50
  4. Step 4: Simplify right side
    673.14x = 446,252.40
  5. Step 5: Solve for x
    x = 446,252.40/673.14
  6. Step 6: Final answer
    x = 662.94

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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.